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Finding the Fourth Proportional to 628.93, 867.84 and 349.17

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Solution

The fourth proportional to 628.93, 867.84 and 349.17 is: 481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.93 : 867.84 = 349.17 : x
  2. Step 2: Convert to fraction form
    628.93/867.84 = 349.17/x
  3. Step 3: Cross multiply
    628.93x = 867.84 × 349.17
  4. Step 4: Simplify right side
    628.93x = 303,023.69
  5. Step 5: Solve for x
    x = 303,023.69/628.93
  6. Step 6: Final answer
    x = 481.81

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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.