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Finding the Fourth Proportional to 495.71, 743.67 and 170.99

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Solution

The fourth proportional to 495.71, 743.67 and 170.99 is: 256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.71 : 743.67 = 170.99 : x
  2. Step 2: Convert to fraction form
    495.71/743.67 = 170.99/x
  3. Step 3: Cross multiply
    495.71x = 743.67 × 170.99
  4. Step 4: Simplify right side
    495.71x = 127,160.13
  5. Step 5: Solve for x
    x = 127,160.13/495.71
  6. Step 6: Final answer
    x = 256.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.