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Finding the Fourth Proportional to 484.25, 726.17 and 461.16

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Solution

The fourth proportional to 484.25, 726.17 and 461.16 is: 691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.25 : 726.17 = 461.16 : x
  2. Step 2: Convert to fraction form
    484.25/726.17 = 461.16/x
  3. Step 3: Cross multiply
    484.25x = 726.17 × 461.16
  4. Step 4: Simplify right side
    484.25x = 334,878.25
  5. Step 5: Solve for x
    x = 334,878.25/484.25
  6. Step 6: Final answer
    x = 691.55

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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.