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Finding the Fourth Proportional to 502.16, 753.14 and 209.60

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Solution

The fourth proportional to 502.16, 753.14 and 209.60 is: 314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.16 : 753.14 = 209.60 : x
  2. Step 2: Convert to fraction form
    502.16/753.14 = 209.60/x
  3. Step 3: Cross multiply
    502.16x = 753.14 × 209.60
  4. Step 4: Simplify right side
    502.16x = 157,858.14
  5. Step 5: Solve for x
    x = 157,858.14/502.16
  6. Step 6: Final answer
    x = 314.36

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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.