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Finding the Fourth Proportional to 546.95, 754.77 and 298.27

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Solution

The fourth proportional to 546.95, 754.77 and 298.27 is: 411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.95 : 754.77 = 298.27 : x
  2. Step 2: Convert to fraction form
    546.95/754.77 = 298.27/x
  3. Step 3: Cross multiply
    546.95x = 754.77 × 298.27
  4. Step 4: Simplify right side
    546.95x = 225,125.25
  5. Step 5: Solve for x
    x = 225,125.25/546.95
  6. Step 6: Final answer
    x = 411.60

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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.