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Finding the Fourth Proportional to 502.78, 693.62 and 306.16

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Solution

The fourth proportional to 502.78, 693.62 and 306.16 is: 422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.78 : 693.62 = 306.16 : x
  2. Step 2: Convert to fraction form
    502.78/693.62 = 306.16/x
  3. Step 3: Cross multiply
    502.78x = 693.62 × 306.16
  4. Step 4: Simplify right side
    502.78x = 212,358.70
  5. Step 5: Solve for x
    x = 212,358.70/502.78
  6. Step 6: Final answer
    x = 422.37

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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.