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Finding the Fourth Proportional to 552.83, 829.04 and 162.71

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Solution

The fourth proportional to 552.83, 829.04 and 162.71 is: 244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.83 : 829.04 = 162.71 : x
  2. Step 2: Convert to fraction form
    552.83/829.04 = 162.71/x
  3. Step 3: Cross multiply
    552.83x = 829.04 × 162.71
  4. Step 4: Simplify right side
    552.83x = 134,891.25
  5. Step 5: Solve for x
    x = 134,891.25/552.83
  6. Step 6: Final answer
    x = 244.00

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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.