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Finding the Fourth Proportional to 546.00, 753.50 and 398.37

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Solution

The fourth proportional to 546.00, 753.50 and 398.37 is: 549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.00 : 753.50 = 398.37 : x
  2. Step 2: Convert to fraction form
    546.00/753.50 = 398.37/x
  3. Step 3: Cross multiply
    546.00x = 753.50 × 398.37
  4. Step 4: Simplify right side
    546.00x = 300,175.62
  5. Step 5: Solve for x
    x = 300,175.62/546.00
  6. Step 6: Final answer
    x = 549.78

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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.