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Finding the Fourth Proportional to 547.25, 757.18 and 477.46

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Solution

The fourth proportional to 547.25, 757.18 and 477.46 is: 660.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.25 : 757.18 = 477.46 : x
  2. Step 2: Convert to fraction form
    547.25/757.18 = 477.46/x
  3. Step 3: Cross multiply
    547.25x = 757.18 × 477.46
  4. Step 4: Simplify right side
    547.25x = 361,523.16
  5. Step 5: Solve for x
    x = 361,523.16/547.25
  6. Step 6: Final answer
    x = 660.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.