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Finding the Fourth Proportional to 637.24, 956.14 and 377.75

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Solution

The fourth proportional to 637.24, 956.14 and 377.75 is: 566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.24 : 956.14 = 377.75 : x
  2. Step 2: Convert to fraction form
    637.24/956.14 = 377.75/x
  3. Step 3: Cross multiply
    637.24x = 956.14 × 377.75
  4. Step 4: Simplify right side
    637.24x = 361,179.97
  5. Step 5: Solve for x
    x = 361,179.97/637.24
  6. Step 6: Final answer
    x = 566.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.