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Finding the Fourth Proportional to 480.74, 721.17 and 188.25

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Solution

The fourth proportional to 480.74, 721.17 and 188.25 is: 282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.74 : 721.17 = 188.25 : x
  2. Step 2: Convert to fraction form
    480.74/721.17 = 188.25/x
  3. Step 3: Cross multiply
    480.74x = 721.17 × 188.25
  4. Step 4: Simplify right side
    480.74x = 135,757.55
  5. Step 5: Solve for x
    x = 135,757.55/480.74
  6. Step 6: Final answer
    x = 282.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.