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Finding the Fourth Proportional to 480.68, 720.22 and 297.80

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Solution

The fourth proportional to 480.68, 720.22 and 297.80 is: 446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.68 : 720.22 = 297.80 : x
  2. Step 2: Convert to fraction form
    480.68/720.22 = 297.80/x
  3. Step 3: Cross multiply
    480.68x = 720.22 × 297.80
  4. Step 4: Simplify right side
    480.68x = 214,481.52
  5. Step 5: Solve for x
    x = 214,481.52/480.68
  6. Step 6: Final answer
    x = 446.20

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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.