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Finding the Fourth Proportional to 641.38, 885.28 and 417.93

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Solution

The fourth proportional to 641.38, 885.28 and 417.93 is: 576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.38 : 885.28 = 417.93 : x
  2. Step 2: Convert to fraction form
    641.38/885.28 = 417.93/x
  3. Step 3: Cross multiply
    641.38x = 885.28 × 417.93
  4. Step 4: Simplify right side
    641.38x = 369,983.46
  5. Step 5: Solve for x
    x = 369,983.46/641.38
  6. Step 6: Final answer
    x = 576.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.