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Finding the Fourth Proportional to 546.57, 754.25 and 297.89

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Solution

The fourth proportional to 546.57, 754.25 and 297.89 is: 411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.57 : 754.25 = 297.89 : x
  2. Step 2: Convert to fraction form
    546.57/754.25 = 297.89/x
  3. Step 3: Cross multiply
    546.57x = 754.25 × 297.89
  4. Step 4: Simplify right side
    546.57x = 224,681.10
  5. Step 5: Solve for x
    x = 224,681.10/546.57
  6. Step 6: Final answer
    x = 411.07

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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.