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Finding the Fourth Proportional to 495.82, 743.88 and 171.19

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Solution

The fourth proportional to 495.82, 743.88 and 171.19 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.82 : 743.88 = 171.19 : x
  2. Step 2: Convert to fraction form
    495.82/743.88 = 171.19/x
  3. Step 3: Cross multiply
    495.82x = 743.88 × 171.19
  4. Step 4: Simplify right side
    495.82x = 127,344.82
  5. Step 5: Solve for x
    x = 127,344.82/495.82
  6. Step 6: Final answer
    x = 256.84

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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.