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Finding the Fourth Proportional to 628.59, 867.63 and 366.78

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Solution

The fourth proportional to 628.59, 867.63 and 366.78 is: 506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.59 : 867.63 = 366.78 : x
  2. Step 2: Convert to fraction form
    628.59/867.63 = 366.78/x
  3. Step 3: Cross multiply
    628.59x = 867.63 × 366.78
  4. Step 4: Simplify right side
    628.59x = 318,229.33
  5. Step 5: Solve for x
    x = 318,229.33/628.59
  6. Step 6: Final answer
    x = 506.26

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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.