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Finding the Fourth Proportional to 488.68, 733.44 and 326.56

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Solution

The fourth proportional to 488.68, 733.44 and 326.56 is: 490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.68 : 733.44 = 326.56 : x
  2. Step 2: Convert to fraction form
    488.68/733.44 = 326.56/x
  3. Step 3: Cross multiply
    488.68x = 733.44 × 326.56
  4. Step 4: Simplify right side
    488.68x = 239,512.17
  5. Step 5: Solve for x
    x = 239,512.17/488.68
  6. Step 6: Final answer
    x = 490.12

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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.