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Finding the Fourth Proportional to 495.31, 742.71 and 170.57

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Solution

The fourth proportional to 495.31, 742.71 and 170.57 is: 255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.31 : 742.71 = 170.57 : x
  2. Step 2: Convert to fraction form
    495.31/742.71 = 170.57/x
  3. Step 3: Cross multiply
    495.31x = 742.71 × 170.57
  4. Step 4: Simplify right side
    495.31x = 126,684.04
  5. Step 5: Solve for x
    x = 126,684.04/495.31
  6. Step 6: Final answer
    x = 255.77

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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.