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Finding the Fourth Proportional to 552.72, 766.55 and 533.28

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Solution

The fourth proportional to 552.72, 766.55 and 533.28 is: 739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.72 : 766.55 = 533.28 : x
  2. Step 2: Convert to fraction form
    552.72/766.55 = 533.28/x
  3. Step 3: Cross multiply
    552.72x = 766.55 × 533.28
  4. Step 4: Simplify right side
    552.72x = 408,785.78
  5. Step 5: Solve for x
    x = 408,785.78/552.72
  6. Step 6: Final answer
    x = 739.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.