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Finding the Fourth Proportional to 546.58, 754.27 and 297.91

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Solution

The fourth proportional to 546.58, 754.27 and 297.91 is: 411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.58 : 754.27 = 297.91 : x
  2. Step 2: Convert to fraction form
    546.58/754.27 = 297.91/x
  3. Step 3: Cross multiply
    546.58x = 754.27 × 297.91
  4. Step 4: Simplify right side
    546.58x = 224,700.80
  5. Step 5: Solve for x
    x = 224,700.80/546.58
  6. Step 6: Final answer
    x = 411.10

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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.