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Finding the Fourth Proportional to 552.24, 755.10 and 532.08

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Solution

The fourth proportional to 552.24, 755.10 and 532.08 is: 727.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.24 : 755.10 = 532.08 : x
  2. Step 2: Convert to fraction form
    552.24/755.10 = 532.08/x
  3. Step 3: Cross multiply
    552.24x = 755.10 × 532.08
  4. Step 4: Simplify right side
    552.24x = 401,773.61
  5. Step 5: Solve for x
    x = 401,773.61/552.24
  6. Step 6: Final answer
    x = 727.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.