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Finding the Fourth Proportional to 641.04, 959.76 and 457.44

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Solution

The fourth proportional to 641.04, 959.76 and 457.44 is: 684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.04 : 959.76 = 457.44 : x
  2. Step 2: Convert to fraction form
    641.04/959.76 = 457.44/x
  3. Step 3: Cross multiply
    641.04x = 959.76 × 457.44
  4. Step 4: Simplify right side
    641.04x = 439,032.61
  5. Step 5: Solve for x
    x = 439,032.61/641.04
  6. Step 6: Final answer
    x = 684.88

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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.