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Finding the Fourth Proportional to 637.56, 955.12 and 431.77

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Solution

The fourth proportional to 637.56, 955.12 and 431.77 is: 646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.56 : 955.12 = 431.77 : x
  2. Step 2: Convert to fraction form
    637.56/955.12 = 431.77/x
  3. Step 3: Cross multiply
    637.56x = 955.12 × 431.77
  4. Step 4: Simplify right side
    637.56x = 412,390.00
  5. Step 5: Solve for x
    x = 412,390.00/637.56
  6. Step 6: Final answer
    x = 646.83

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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.