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Finding the Fourth Proportional to 546.57, 754.26 and 297.89

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Solution

The fourth proportional to 546.57, 754.26 and 297.89 is: 411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.57 : 754.26 = 297.89 : x
  2. Step 2: Convert to fraction form
    546.57/754.26 = 297.89/x
  3. Step 3: Cross multiply
    546.57x = 754.26 × 297.89
  4. Step 4: Simplify right side
    546.57x = 224,682.74
  5. Step 5: Solve for x
    x = 224,682.74/546.57
  6. Step 6: Final answer
    x = 411.08

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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.