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Finding the Fourth Proportional to 494.77, 741.92 and 170

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Solution

The fourth proportional to 494.77, 741.92 and 170 is: 254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.77 : 741.92 = 170 : x
  2. Step 2: Convert to fraction form
    494.77/741.92 = 170/x
  3. Step 3: Cross multiply
    494.77x = 741.92 × 170
  4. Step 4: Simplify right side
    494.77x = 126,126.40
  5. Step 5: Solve for x
    x = 126,126.40/494.77
  6. Step 6: Final answer
    x = 254.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.