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Finding the Fourth Proportional to 628.11, 867.63 and 523.55

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Solution

The fourth proportional to 628.11, 867.63 and 523.55 is: 723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.11 : 867.63 = 523.55 : x
  2. Step 2: Convert to fraction form
    628.11/867.63 = 523.55/x
  3. Step 3: Cross multiply
    628.11x = 867.63 × 523.55
  4. Step 4: Simplify right side
    628.11x = 454,243.35
  5. Step 5: Solve for x
    x = 454,243.35/628.11
  6. Step 6: Final answer
    x = 723.19

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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.