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Finding the Fourth Proportional to 502.78, 693.36 and 306.10

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Solution

The fourth proportional to 502.78, 693.36 and 306.10 is: 422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.78 : 693.36 = 306.10 : x
  2. Step 2: Convert to fraction form
    502.78/693.36 = 306.10/x
  3. Step 3: Cross multiply
    502.78x = 693.36 × 306.10
  4. Step 4: Simplify right side
    502.78x = 212,237.50
  5. Step 5: Solve for x
    x = 212,237.50/502.78
  6. Step 6: Final answer
    x = 422.13

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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.