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Finding the Fourth Proportional to 398.83, 550.35 and 233.02

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Solution

The fourth proportional to 398.83, 550.35 and 233.02 is: 321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.83 : 550.35 = 233.02 : x
  2. Step 2: Convert to fraction form
    398.83/550.35 = 233.02/x
  3. Step 3: Cross multiply
    398.83x = 550.35 × 233.02
  4. Step 4: Simplify right side
    398.83x = 128,242.56
  5. Step 5: Solve for x
    x = 128,242.56/398.83
  6. Step 6: Final answer
    x = 321.55

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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.