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Finding the Fourth Proportional to 641.48, 962.10 and 179.28

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Solution

The fourth proportional to 641.48, 962.10 and 179.28 is: 268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.48 : 962.10 = 179.28 : x
  2. Step 2: Convert to fraction form
    641.48/962.10 = 179.28/x
  3. Step 3: Cross multiply
    641.48x = 962.10 × 179.28
  4. Step 4: Simplify right side
    641.48x = 172,485.29
  5. Step 5: Solve for x
    x = 172,485.29/641.48
  6. Step 6: Final answer
    x = 268.89

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Why These Related Problems?

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