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Finding the Fourth Proportional to 461.70, 638.64 and 410.04

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Solution

The fourth proportional to 461.70, 638.64 and 410.04 is: 567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.70 : 638.64 = 410.04 : x
  2. Step 2: Convert to fraction form
    461.70/638.64 = 410.04/x
  3. Step 3: Cross multiply
    461.70x = 638.64 × 410.04
  4. Step 4: Simplify right side
    461.70x = 261,867.95
  5. Step 5: Solve for x
    x = 261,867.95/461.70
  6. Step 6: Final answer
    x = 567.18

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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.