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Finding the Fourth Proportional to 546.10, 752.92 and 371.14

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Solution

The fourth proportional to 546.10, 752.92 and 371.14 is: 511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.10 : 752.92 = 371.14 : x
  2. Step 2: Convert to fraction form
    546.10/752.92 = 371.14/x
  3. Step 3: Cross multiply
    546.10x = 752.92 × 371.14
  4. Step 4: Simplify right side
    546.10x = 279,438.73
  5. Step 5: Solve for x
    x = 279,438.73/546.10
  6. Step 6: Final answer
    x = 511.70

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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.