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Finding the Fourth Proportional to 484.33, 726.55 and 176.14

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Solution

The fourth proportional to 484.33, 726.55 and 176.14 is: 264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.33 : 726.55 = 176.14 : x
  2. Step 2: Convert to fraction form
    484.33/726.55 = 176.14/x
  3. Step 3: Cross multiply
    484.33x = 726.55 × 176.14
  4. Step 4: Simplify right side
    484.33x = 127,974.52
  5. Step 5: Solve for x
    x = 127,974.52/484.33
  6. Step 6: Final answer
    x = 264.23

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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.