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Finding the Fourth Proportional to 487.20, 730.48 and 213.28

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Solution

The fourth proportional to 487.20, 730.48 and 213.28 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.20 : 730.48 = 213.28 : x
  2. Step 2: Convert to fraction form
    487.20/730.48 = 213.28/x
  3. Step 3: Cross multiply
    487.20x = 730.48 × 213.28
  4. Step 4: Simplify right side
    487.20x = 155,796.77
  5. Step 5: Solve for x
    x = 155,796.77/487.20
  6. Step 6: Final answer
    x = 319.78

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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.