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Finding the Fourth Proportional to 546.86, 754.65 and 298.19

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Solution

The fourth proportional to 546.86, 754.65 and 298.19 is: 411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.86 : 754.65 = 298.19 : x
  2. Step 2: Convert to fraction form
    546.86/754.65 = 298.19/x
  3. Step 3: Cross multiply
    546.86x = 754.65 × 298.19
  4. Step 4: Simplify right side
    546.86x = 225,030.97
  5. Step 5: Solve for x
    x = 225,030.97/546.86
  6. Step 6: Final answer
    x = 411.49

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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.