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Finding the Fourth Proportional to 552.69, 829.17 and 223.62

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Solution

The fourth proportional to 552.69, 829.17 and 223.62 is: 335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.69 : 829.17 = 223.62 : x
  2. Step 2: Convert to fraction form
    552.69/829.17 = 223.62/x
  3. Step 3: Cross multiply
    552.69x = 829.17 × 223.62
  4. Step 4: Simplify right side
    552.69x = 185,419.00
  5. Step 5: Solve for x
    x = 185,419.00/552.69
  6. Step 6: Final answer
    x = 335.48

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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.