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Finding the Fourth Proportional to 637.14, 955.08 and 431.22

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Solution

The fourth proportional to 637.14, 955.08 and 431.22 is: 646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.14 : 955.08 = 431.22 : x
  2. Step 2: Convert to fraction form
    637.14/955.08 = 431.22/x
  3. Step 3: Cross multiply
    637.14x = 955.08 × 431.22
  4. Step 4: Simplify right side
    637.14x = 411,849.60
  5. Step 5: Solve for x
    x = 411,849.60/637.14
  6. Step 6: Final answer
    x = 646.40

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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.