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Finding the Fourth Proportional to 546.98, 754.86 and 298.29

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Solution

The fourth proportional to 546.98, 754.86 and 298.29 is: 411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.98 : 754.86 = 298.29 : x
  2. Step 2: Convert to fraction form
    546.98/754.86 = 298.29/x
  3. Step 3: Cross multiply
    546.98x = 754.86 × 298.29
  4. Step 4: Simplify right side
    546.98x = 225,171.14
  5. Step 5: Solve for x
    x = 225,171.14/546.98
  6. Step 6: Final answer
    x = 411.66

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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.