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Finding the Fourth Proportional to 480.78, 721.24 and 206.89

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Solution

The fourth proportional to 480.78, 721.24 and 206.89 is: 310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.78 : 721.24 = 206.89 : x
  2. Step 2: Convert to fraction form
    480.78/721.24 = 206.89/x
  3. Step 3: Cross multiply
    480.78x = 721.24 × 206.89
  4. Step 4: Simplify right side
    480.78x = 149,215.02
  5. Step 5: Solve for x
    x = 149,215.02/480.78
  6. Step 6: Final answer
    x = 310.36

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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.