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Finding the Fourth Proportional to 628.75, 867.68 and 366.81

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Solution

The fourth proportional to 628.75, 867.68 and 366.81 is: 506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.75 : 867.68 = 366.81 : x
  2. Step 2: Convert to fraction form
    628.75/867.68 = 366.81/x
  3. Step 3: Cross multiply
    628.75x = 867.68 × 366.81
  4. Step 4: Simplify right side
    628.75x = 318,273.70
  5. Step 5: Solve for x
    x = 318,273.70/628.75
  6. Step 6: Final answer
    x = 506.20

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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.