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Finding the Fourth Proportional to 484.77, 727.02 and 411.69

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Solution

The fourth proportional to 484.77, 727.02 and 411.69 is: 617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.77 : 727.02 = 411.69 : x
  2. Step 2: Convert to fraction form
    484.77/727.02 = 411.69/x
  3. Step 3: Cross multiply
    484.77x = 727.02 × 411.69
  4. Step 4: Simplify right side
    484.77x = 299,306.86
  5. Step 5: Solve for x
    x = 299,306.86/484.77
  6. Step 6: Final answer
    x = 617.42

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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.