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Finding the Fourth Proportional to 628.29, 867.11 and 366.30

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Solution

The fourth proportional to 628.29, 867.11 and 366.30 is: 505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.29 : 867.11 = 366.30 : x
  2. Step 2: Convert to fraction form
    628.29/867.11 = 366.30/x
  3. Step 3: Cross multiply
    628.29x = 867.11 × 366.30
  4. Step 4: Simplify right side
    628.29x = 317,620.56
  5. Step 5: Solve for x
    x = 317,620.56/628.29
  6. Step 6: Final answer
    x = 505.53

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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.