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Finding the Fourth Proportional to 637.40, 878.64 and 477.65

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Solution

The fourth proportional to 637.40, 878.64 and 477.65 is: 658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.40 : 878.64 = 477.65 : x
  2. Step 2: Convert to fraction form
    637.40/878.64 = 477.65/x
  3. Step 3: Cross multiply
    637.40x = 878.64 × 477.65
  4. Step 4: Simplify right side
    637.40x = 419,682.40
  5. Step 5: Solve for x
    x = 419,682.40/637.40
  6. Step 6: Final answer
    x = 658.43

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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.