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Finding the Fourth Proportional to 641.30, 961.02 and 316.89

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Solution

The fourth proportional to 641.30, 961.02 and 316.89 is: 474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.30 : 961.02 = 316.89 : x
  2. Step 2: Convert to fraction form
    641.30/961.02 = 316.89/x
  3. Step 3: Cross multiply
    641.30x = 961.02 × 316.89
  4. Step 4: Simplify right side
    641.30x = 304,537.63
  5. Step 5: Solve for x
    x = 304,537.63/641.30
  6. Step 6: Final answer
    x = 474.88

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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.