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Finding the Fourth Proportional to 502.96, 694.56 and 475.69

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Solution

The fourth proportional to 502.96, 694.56 and 475.69 is: 656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.96 : 694.56 = 475.69 : x
  2. Step 2: Convert to fraction form
    502.96/694.56 = 475.69/x
  3. Step 3: Cross multiply
    502.96x = 694.56 × 475.69
  4. Step 4: Simplify right side
    502.96x = 330,395.25
  5. Step 5: Solve for x
    x = 330,395.25/502.96
  6. Step 6: Final answer
    x = 656.90

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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.