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Finding the Fourth Proportional to 547.52, 755.16 and 381.68

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Solution

The fourth proportional to 547.52, 755.16 and 381.68 is: 526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.52 : 755.16 = 381.68 : x
  2. Step 2: Convert to fraction form
    547.52/755.16 = 381.68/x
  3. Step 3: Cross multiply
    547.52x = 755.16 × 381.68
  4. Step 4: Simplify right side
    547.52x = 288,229.47
  5. Step 5: Solve for x
    x = 288,229.47/547.52
  6. Step 6: Final answer
    x = 526.43

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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.