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Finding the Fourth Proportional to 502.92, 694.06 and 306.40

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Solution

The fourth proportional to 502.92, 694.06 and 306.40 is: 422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.92 : 694.06 = 306.40 : x
  2. Step 2: Convert to fraction form
    502.92/694.06 = 306.40/x
  3. Step 3: Cross multiply
    502.92x = 694.06 × 306.40
  4. Step 4: Simplify right side
    502.92x = 212,659.98
  5. Step 5: Solve for x
    x = 212,659.98/502.92
  6. Step 6: Final answer
    x = 422.85

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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.