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Finding the Fourth Proportional to 546.74, 754.51 and 298.06

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Solution

The fourth proportional to 546.74, 754.51 and 298.06 is: 411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.74 : 754.51 = 298.06 : x
  2. Step 2: Convert to fraction form
    546.74/754.51 = 298.06/x
  3. Step 3: Cross multiply
    546.74x = 754.51 × 298.06
  4. Step 4: Simplify right side
    546.74x = 224,886.62
  5. Step 5: Solve for x
    x = 224,886.62/546.74
  6. Step 6: Final answer
    x = 411.32

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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.