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Finding the Fourth Proportional to 546.78, 755.01 and 372.90

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Solution

The fourth proportional to 546.78, 755.01 and 372.90 is: 514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.78 : 755.01 = 372.90 : x
  2. Step 2: Convert to fraction form
    546.78/755.01 = 372.90/x
  3. Step 3: Cross multiply
    546.78x = 755.01 × 372.90
  4. Step 4: Simplify right side
    546.78x = 281,543.23
  5. Step 5: Solve for x
    x = 281,543.23/546.78
  6. Step 6: Final answer
    x = 514.91

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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.