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Finding the Fourth Proportional to 628.44, 867.18 and 366.46

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Solution

The fourth proportional to 628.44, 867.18 and 366.46 is: 505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.44 : 867.18 = 366.46 : x
  2. Step 2: Convert to fraction form
    628.44/867.18 = 366.46/x
  3. Step 3: Cross multiply
    628.44x = 867.18 × 366.46
  4. Step 4: Simplify right side
    628.44x = 317,786.78
  5. Step 5: Solve for x
    x = 317,786.78/628.44
  6. Step 6: Final answer
    x = 505.68

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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.