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Finding the Fourth Proportional to 546.92, 754.77 and 298.24

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Solution

The fourth proportional to 546.92, 754.77 and 298.24 is: 411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.92 : 754.77 = 298.24 : x
  2. Step 2: Convert to fraction form
    546.92/754.77 = 298.24/x
  3. Step 3: Cross multiply
    546.92x = 754.77 × 298.24
  4. Step 4: Simplify right side
    546.92x = 225,102.60
  5. Step 5: Solve for x
    x = 225,102.60/546.92
  6. Step 6: Final answer
    x = 411.58

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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.