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Finding the Fourth Proportional to 398.98, 550.63 and 233.16

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Solution

The fourth proportional to 398.98, 550.63 and 233.16 is: 321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.98 : 550.63 = 233.16 : x
  2. Step 2: Convert to fraction form
    398.98/550.63 = 233.16/x
  3. Step 3: Cross multiply
    398.98x = 550.63 × 233.16
  4. Step 4: Simplify right side
    398.98x = 128,384.89
  5. Step 5: Solve for x
    x = 128,384.89/398.98
  6. Step 6: Final answer
    x = 321.78

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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.