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Finding the Fourth Proportional to 496.61, 744.69 and 171.89

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Solution

The fourth proportional to 496.61, 744.69 and 171.89 is: 257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.61 : 744.69 = 171.89 : x
  2. Step 2: Convert to fraction form
    496.61/744.69 = 171.89/x
  3. Step 3: Cross multiply
    496.61x = 744.69 × 171.89
  4. Step 4: Simplify right side
    496.61x = 128,004.76
  5. Step 5: Solve for x
    x = 128,004.76/496.61
  6. Step 6: Final answer
    x = 257.76

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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.