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Finding the Fourth Proportional to 398.80, 550.02 and 282.16

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Solution

The fourth proportional to 398.80, 550.02 and 282.16 is: 389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.80 : 550.02 = 282.16 : x
  2. Step 2: Convert to fraction form
    398.80/550.02 = 282.16/x
  3. Step 3: Cross multiply
    398.80x = 550.02 × 282.16
  4. Step 4: Simplify right side
    398.80x = 155,193.64
  5. Step 5: Solve for x
    x = 155,193.64/398.80
  6. Step 6: Final answer
    x = 389.15

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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.