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Finding the Fourth Proportional to 484.57, 726.13 and 301.42

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Solution

The fourth proportional to 484.57, 726.13 and 301.42 is: 451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.57 : 726.13 = 301.42 : x
  2. Step 2: Convert to fraction form
    484.57/726.13 = 301.42/x
  3. Step 3: Cross multiply
    484.57x = 726.13 × 301.42
  4. Step 4: Simplify right side
    484.57x = 218,870.10
  5. Step 5: Solve for x
    x = 218,870.10/484.57
  6. Step 6: Final answer
    x = 451.68

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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.