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Finding the Fourth Proportional to 495.87, 743.96 and 171.25

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Solution

The fourth proportional to 495.87, 743.96 and 171.25 is: 256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.87 : 743.96 = 171.25 : x
  2. Step 2: Convert to fraction form
    495.87/743.96 = 171.25/x
  3. Step 3: Cross multiply
    495.87x = 743.96 × 171.25
  4. Step 4: Simplify right side
    495.87x = 127,403.15
  5. Step 5: Solve for x
    x = 127,403.15/495.87
  6. Step 6: Final answer
    x = 256.93

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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.