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Finding the Fourth Proportional to 552.36, 765.88 and 523.20

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Solution

The fourth proportional to 552.36, 765.88 and 523.20 is: 725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.36 : 765.88 = 523.20 : x
  2. Step 2: Convert to fraction form
    552.36/765.88 = 523.20/x
  3. Step 3: Cross multiply
    552.36x = 765.88 × 523.20
  4. Step 4: Simplify right side
    552.36x = 400,708.42
  5. Step 5: Solve for x
    x = 400,708.42/552.36
  6. Step 6: Final answer
    x = 725.45

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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.