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Finding the Fourth Proportional to 517.24, 713.71 and 320.75

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Solution

The fourth proportional to 517.24, 713.71 and 320.75 is: 442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.24 : 713.71 = 320.75 : x
  2. Step 2: Convert to fraction form
    517.24/713.71 = 320.75/x
  3. Step 3: Cross multiply
    517.24x = 713.71 × 320.75
  4. Step 4: Simplify right side
    517.24x = 228,922.48
  5. Step 5: Solve for x
    x = 228,922.48/517.24
  6. Step 6: Final answer
    x = 442.58

Related Problems

Find fourth proportional to 258.62, 356.86 and 160.38
Half scale
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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.