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Finding the Fourth Proportional to 502.16, 693.24 and 346.64

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Solution

The fourth proportional to 502.16, 693.24 and 346.64 is: 478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.16 : 693.24 = 346.64 : x
  2. Step 2: Convert to fraction form
    502.16/693.24 = 346.64/x
  3. Step 3: Cross multiply
    502.16x = 693.24 × 346.64
  4. Step 4: Simplify right side
    502.16x = 240,304.71
  5. Step 5: Solve for x
    x = 240,304.71/502.16
  6. Step 6: Final answer
    x = 478.54

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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.