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Finding the Fourth Proportional to 502.68, 693.57 and 306.27

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Solution

The fourth proportional to 502.68, 693.57 and 306.27 is: 422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.68 : 693.57 = 306.27 : x
  2. Step 2: Convert to fraction form
    502.68/693.57 = 306.27/x
  3. Step 3: Cross multiply
    502.68x = 693.57 × 306.27
  4. Step 4: Simplify right side
    502.68x = 212,419.68
  5. Step 5: Solve for x
    x = 212,419.68/502.68
  6. Step 6: Final answer
    x = 422.57

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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.