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Finding the Fourth Proportional to 549.92, 754.11 and 494.48

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Solution

The fourth proportional to 549.92, 754.11 and 494.48 is: 678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.92 : 754.11 = 494.48 : x
  2. Step 2: Convert to fraction form
    549.92/754.11 = 494.48/x
  3. Step 3: Cross multiply
    549.92x = 754.11 × 494.48
  4. Step 4: Simplify right side
    549.92x = 372,894.20
  5. Step 5: Solve for x
    x = 372,894.20/549.92
  6. Step 6: Final answer
    x = 678.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.