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Finding the Fourth Proportional to 809.16, 1,213.86 and 398.24

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Solution

The fourth proportional to 809.16, 1,213.86 and 398.24 is: 597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.16 : 1,213.86 = 398.24 : x
  2. Step 2: Convert to fraction form
    809.16/1,213.86 = 398.24/x
  3. Step 3: Cross multiply
    809.16x = 1,213.86 × 398.24
  4. Step 4: Simplify right side
    809.16x = 483,407.61
  5. Step 5: Solve for x
    x = 483,407.61/809.16
  6. Step 6: Final answer
    x = 597.42

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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.