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Finding the Fourth Proportional to 546.13, 753.87 and 381.25

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Solution

The fourth proportional to 546.13, 753.87 and 381.25 is: 526.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.13 : 753.87 = 381.25 : x
  2. Step 2: Convert to fraction form
    546.13/753.87 = 381.25/x
  3. Step 3: Cross multiply
    546.13x = 753.87 × 381.25
  4. Step 4: Simplify right side
    546.13x = 287,412.94
  5. Step 5: Solve for x
    x = 287,412.94/546.13
  6. Step 6: Final answer
    x = 526.27

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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.