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Finding the Fourth Proportional to 496.52, 744.74 and 154.52

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Solution

The fourth proportional to 496.52, 744.74 and 154.52 is: 231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.52 : 744.74 = 154.52 : x
  2. Step 2: Convert to fraction form
    496.52/744.74 = 154.52/x
  3. Step 3: Cross multiply
    496.52x = 744.74 × 154.52
  4. Step 4: Simplify right side
    496.52x = 115,077.22
  5. Step 5: Solve for x
    x = 115,077.22/496.52
  6. Step 6: Final answer
    x = 231.77

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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.