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Finding the Fourth Proportional to 496, 743.76 and 171.28

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Solution

The fourth proportional to 496, 743.76 and 171.28 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    496 : 743.76 = 171.28 : x
  2. Step 2: Convert to fraction form
    496/743.76 = 171.28/x
  3. Step 3: Cross multiply
    496x = 743.76 × 171.28
  4. Step 4: Simplify right side
    496x = 127,391.21
  5. Step 5: Solve for x
    x = 127,391.21/496
  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.