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Finding the Fourth Proportional to 546.91, 754.73 and 298.23

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Solution

The fourth proportional to 546.91, 754.73 and 298.23 is: 411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.91 : 754.73 = 298.23 : x
  2. Step 2: Convert to fraction form
    546.91/754.73 = 298.23/x
  3. Step 3: Cross multiply
    546.91x = 754.73 × 298.23
  4. Step 4: Simplify right side
    546.91x = 225,079.92
  5. Step 5: Solve for x
    x = 225,079.92/546.91
  6. Step 6: Final answer
    x = 411.55

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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.