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Finding the Fourth Proportional to 547.97, 756.37 and 382.24

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Solution

The fourth proportional to 547.97, 756.37 and 382.24 is: 527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.97 : 756.37 = 382.24 : x
  2. Step 2: Convert to fraction form
    547.97/756.37 = 382.24/x
  3. Step 3: Cross multiply
    547.97x = 756.37 × 382.24
  4. Step 4: Simplify right side
    547.97x = 289,116.29
  5. Step 5: Solve for x
    x = 289,116.29/547.97
  6. Step 6: Final answer
    x = 527.61

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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.