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Finding the Fourth Proportional to 552.60, 827.69 and 398.83

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Solution

The fourth proportional to 552.60, 827.69 and 398.83 is: 597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.60 : 827.69 = 398.83 : x
  2. Step 2: Convert to fraction form
    552.60/827.69 = 398.83/x
  3. Step 3: Cross multiply
    552.60x = 827.69 × 398.83
  4. Step 4: Simplify right side
    552.60x = 330,105.61
  5. Step 5: Solve for x
    x = 330,105.61/552.60
  6. Step 6: Final answer
    x = 597.37

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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.