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Finding the Fourth Proportional to 628.57, 867.41 and 348.80

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Solution

The fourth proportional to 628.57, 867.41 and 348.80 is: 481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.57 : 867.41 = 348.80 : x
  2. Step 2: Convert to fraction form
    628.57/867.41 = 348.80/x
  3. Step 3: Cross multiply
    628.57x = 867.41 × 348.80
  4. Step 4: Simplify right side
    628.57x = 302,553.93
  5. Step 5: Solve for x
    x = 302,553.93/628.57
  6. Step 6: Final answer
    x = 481.34

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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.