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Finding the Fourth Proportional to 484.88, 727.42 and 224.90

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Solution

The fourth proportional to 484.88, 727.42 and 224.90 is: 337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.88 : 727.42 = 224.90 : x
  2. Step 2: Convert to fraction form
    484.88/727.42 = 224.90/x
  3. Step 3: Cross multiply
    484.88x = 727.42 × 224.90
  4. Step 4: Simplify right side
    484.88x = 163,596.76
  5. Step 5: Solve for x
    x = 163,596.76/484.88
  6. Step 6: Final answer
    x = 337.40

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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.