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Finding the Fourth Proportional to 546.14, 753.50 and 371.18

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Solution

The fourth proportional to 546.14, 753.50 and 371.18 is: 512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.14 : 753.50 = 371.18 : x
  2. Step 2: Convert to fraction form
    546.14/753.50 = 371.18/x
  3. Step 3: Cross multiply
    546.14x = 753.50 × 371.18
  4. Step 4: Simplify right side
    546.14x = 279,684.13
  5. Step 5: Solve for x
    x = 279,684.13/546.14
  6. Step 6: Final answer
    x = 512.11

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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.