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Finding the Fourth Proportional to 546.19, 753.90 and 371.53

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Solution

The fourth proportional to 546.19, 753.90 and 371.53 is: 512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.19 : 753.90 = 371.53 : x
  2. Step 2: Convert to fraction form
    546.19/753.90 = 371.53/x
  3. Step 3: Cross multiply
    546.19x = 753.90 × 371.53
  4. Step 4: Simplify right side
    546.19x = 280,096.02
  5. Step 5: Solve for x
    x = 280,096.02/546.19
  6. Step 6: Final answer
    x = 512.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.