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Finding the Fourth Proportional to 641.96, 961.14 and 421.91

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Solution

The fourth proportional to 641.96, 961.14 and 421.91 is: 631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.96 : 961.14 = 421.91 : x
  2. Step 2: Convert to fraction form
    641.96/961.14 = 421.91/x
  3. Step 3: Cross multiply
    641.96x = 961.14 × 421.91
  4. Step 4: Simplify right side
    641.96x = 405,509.77
  5. Step 5: Solve for x
    x = 405,509.77/641.96
  6. Step 6: Final answer
    x = 631.68

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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.