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Finding the Fourth Proportional to 552, 827.34 and 243.72

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Solution

The fourth proportional to 552, 827.34 and 243.72 is: 365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552 : 827.34 = 243.72 : x
  2. Step 2: Convert to fraction form
    552/827.34 = 243.72/x
  3. Step 3: Cross multiply
    552x = 827.34 × 243.72
  4. Step 4: Simplify right side
    552x = 201,639.30
  5. Step 5: Solve for x
    x = 201,639.30/552
  6. Step 6: Final answer
    x = 365.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.