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Finding the Fourth Proportional to 517.50, 776.22 and 440.28

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Solution

The fourth proportional to 517.50, 776.22 and 440.28 is: 660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.50 : 776.22 = 440.28 : x
  2. Step 2: Convert to fraction form
    517.50/776.22 = 440.28/x
  3. Step 3: Cross multiply
    517.50x = 776.22 × 440.28
  4. Step 4: Simplify right side
    517.50x = 341,754.14
  5. Step 5: Solve for x
    x = 341,754.14/517.50
  6. Step 6: Final answer
    x = 660.39

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Find fourth proportional to 258.75, 388.11 and 220.14
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.