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Finding the Fourth Proportional to 502.52, 693.53 and 306.14

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Solution

The fourth proportional to 502.52, 693.53 and 306.14 is: 422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.52 : 693.53 = 306.14 : x
  2. Step 2: Convert to fraction form
    502.52/693.53 = 306.14/x
  3. Step 3: Cross multiply
    502.52x = 693.53 × 306.14
  4. Step 4: Simplify right side
    502.52x = 212,317.27
  5. Step 5: Solve for x
    x = 212,317.27/502.52
  6. Step 6: Final answer
    x = 422.51

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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.