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Finding the Fourth Proportional to 495.30, 743.14 and 170.76

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Solution

The fourth proportional to 495.30, 743.14 and 170.76 is: 256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.30 : 743.14 = 170.76 : x
  2. Step 2: Convert to fraction form
    495.30/743.14 = 170.76/x
  3. Step 3: Cross multiply
    495.30x = 743.14 × 170.76
  4. Step 4: Simplify right side
    495.30x = 126,898.59
  5. Step 5: Solve for x
    x = 126,898.59/495.30
  6. Step 6: Final answer
    x = 256.21

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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.