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Finding the Fourth Proportional to 698.24, 961.52 and 523.28

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Solution

The fourth proportional to 698.24, 961.52 and 523.28 is: 720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.24 : 961.52 = 523.28 : x
  2. Step 2: Convert to fraction form
    698.24/961.52 = 523.28/x
  3. Step 3: Cross multiply
    698.24x = 961.52 × 523.28
  4. Step 4: Simplify right side
    698.24x = 503,144.19
  5. Step 5: Solve for x
    x = 503,144.19/698.24
  6. Step 6: Final answer
    x = 720.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.