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Finding the Fourth Proportional to 517.88, 776.96 and 193.26

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Solution

The fourth proportional to 517.88, 776.96 and 193.26 is: 289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.88 : 776.96 = 193.26 : x
  2. Step 2: Convert to fraction form
    517.88/776.96 = 193.26/x
  3. Step 3: Cross multiply
    517.88x = 776.96 × 193.26
  4. Step 4: Simplify right side
    517.88x = 150,155.29
  5. Step 5: Solve for x
    x = 150,155.29/517.88
  6. Step 6: Final answer
    x = 289.94

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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.