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Finding the Fourth Proportional to 502.90, 694.05 and 306.43

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Solution

The fourth proportional to 502.90, 694.05 and 306.43 is: 422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.90 : 694.05 = 306.43 : x
  2. Step 2: Convert to fraction form
    502.90/694.05 = 306.43/x
  3. Step 3: Cross multiply
    502.90x = 694.05 × 306.43
  4. Step 4: Simplify right side
    502.90x = 212,677.74
  5. Step 5: Solve for x
    x = 212,677.74/502.90
  6. Step 6: Final answer
    x = 422.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.