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Finding the Fourth Proportional to 641.35, 962.04 and 179.13

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Solution

The fourth proportional to 641.35, 962.04 and 179.13 is: 268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.35 : 962.04 = 179.13 : x
  2. Step 2: Convert to fraction form
    641.35/962.04 = 179.13/x
  3. Step 3: Cross multiply
    641.35x = 962.04 × 179.13
  4. Step 4: Simplify right side
    641.35x = 172,330.23
  5. Step 5: Solve for x
    x = 172,330.23/641.35
  6. Step 6: Final answer
    x = 268.70

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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.