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Finding the Fourth Proportional to 552.10, 827.55 and 243.90

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Solution

The fourth proportional to 552.10, 827.55 and 243.90 is: 365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.10 : 827.55 = 243.90 : x
  2. Step 2: Convert to fraction form
    552.10/827.55 = 243.90/x
  3. Step 3: Cross multiply
    552.10x = 827.55 × 243.90
  4. Step 4: Simplify right side
    552.10x = 201,839.45
  5. Step 5: Solve for x
    x = 201,839.45/552.10
  6. Step 6: Final answer
    x = 365.58

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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.