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Finding the Fourth Proportional to 484.87, 727.17 and 346.78

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Solution

The fourth proportional to 484.87, 727.17 and 346.78 is: 520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.87 : 727.17 = 346.78 : x
  2. Step 2: Convert to fraction form
    484.87/727.17 = 346.78/x
  3. Step 3: Cross multiply
    484.87x = 727.17 × 346.78
  4. Step 4: Simplify right side
    484.87x = 252,168.01
  5. Step 5: Solve for x
    x = 252,168.01/484.87
  6. Step 6: Final answer
    x = 520.07

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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.