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Finding the Fourth Proportional to 495.74, 743.96 and 171.11

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Solution

The fourth proportional to 495.74, 743.96 and 171.11 is: 256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.74 : 743.96 = 171.11 : x
  2. Step 2: Convert to fraction form
    495.74/743.96 = 171.11/x
  3. Step 3: Cross multiply
    495.74x = 743.96 × 171.11
  4. Step 4: Simplify right side
    495.74x = 127,298.14
  5. Step 5: Solve for x
    x = 127,298.14/495.74
  6. Step 6: Final answer
    x = 256.78

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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.