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Finding the Fourth Proportional to 546.96, 754.41 and 494.16

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Solution

The fourth proportional to 546.96, 754.41 and 494.16 is: 681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.96 : 754.41 = 494.16 : x
  2. Step 2: Convert to fraction form
    546.96/754.41 = 494.16/x
  3. Step 3: Cross multiply
    546.96x = 754.41 × 494.16
  4. Step 4: Simplify right side
    546.96x = 372,799.25
  5. Step 5: Solve for x
    x = 372,799.25/546.96
  6. Step 6: Final answer
    x = 681.58

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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.