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Finding the Fourth Proportional to 502.72, 693.80 and 306.24

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Solution

The fourth proportional to 502.72, 693.80 and 306.24 is: 422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.72 : 693.80 = 306.24 : x
  2. Step 2: Convert to fraction form
    502.72/693.80 = 306.24/x
  3. Step 3: Cross multiply
    502.72x = 693.80 × 306.24
  4. Step 4: Simplify right side
    502.72x = 212,469.31
  5. Step 5: Solve for x
    x = 212,469.31/502.72
  6. Step 6: Final answer
    x = 422.64

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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.