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Finding the Fourth Proportional to 637.68, 878.94 and 462.72

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Solution

The fourth proportional to 637.68, 878.94 and 462.72 is: 637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.68 : 878.94 = 462.72 : x
  2. Step 2: Convert to fraction form
    637.68/878.94 = 462.72/x
  3. Step 3: Cross multiply
    637.68x = 878.94 × 462.72
  4. Step 4: Simplify right side
    637.68x = 406,703.12
  5. Step 5: Solve for x
    x = 406,703.12/637.68
  6. Step 6: Final answer
    x = 637.79

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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.