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Finding the Fourth Proportional to 628.32, 868.71 and 523.36

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Solution

The fourth proportional to 628.32, 868.71 and 523.36 is: 723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.32 : 868.71 = 523.36 : x
  2. Step 2: Convert to fraction form
    628.32/868.71 = 523.36/x
  3. Step 3: Cross multiply
    628.32x = 868.71 × 523.36
  4. Step 4: Simplify right side
    628.32x = 454,648.07
  5. Step 5: Solve for x
    x = 454,648.07/628.32
  6. Step 6: Final answer
    x = 723.59

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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.