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Finding the Fourth Proportional to 641.08, 962.12 and 294.92

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Solution

The fourth proportional to 641.08, 962.12 and 294.92 is: 442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.08 : 962.12 = 294.92 : x
  2. Step 2: Convert to fraction form
    641.08/962.12 = 294.92/x
  3. Step 3: Cross multiply
    641.08x = 962.12 × 294.92
  4. Step 4: Simplify right side
    641.08x = 283,748.43
  5. Step 5: Solve for x
    x = 283,748.43/641.08
  6. Step 6: Final answer
    x = 442.61

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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.