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Finding the Fourth Proportional to 484.30, 726.34 and 224.14

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Solution

The fourth proportional to 484.30, 726.34 and 224.14 is: 336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.30 : 726.34 = 224.14 : x
  2. Step 2: Convert to fraction form
    484.30/726.34 = 224.14/x
  3. Step 3: Cross multiply
    484.30x = 726.34 × 224.14
  4. Step 4: Simplify right side
    484.30x = 162,803.93
  5. Step 5: Solve for x
    x = 162,803.93/484.30
  6. Step 6: Final answer
    x = 336.16

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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.