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Finding the Fourth Proportional to 484.53, 726.89 and 159.99

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Solution

The fourth proportional to 484.53, 726.89 and 159.99 is: 240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.53 : 726.89 = 159.99 : x
  2. Step 2: Convert to fraction form
    484.53/726.89 = 159.99/x
  3. Step 3: Cross multiply
    484.53x = 726.89 × 159.99
  4. Step 4: Simplify right side
    484.53x = 116,294.33
  5. Step 5: Solve for x
    x = 116,294.33/484.53
  6. Step 6: Final answer
    x = 240.01

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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.