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Finding the Fourth Proportional to 398.71, 550.04 and 232.93

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Solution

The fourth proportional to 398.71, 550.04 and 232.93 is: 321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.71 : 550.04 = 232.93 : x
  2. Step 2: Convert to fraction form
    398.71/550.04 = 232.93/x
  3. Step 3: Cross multiply
    398.71x = 550.04 × 232.93
  4. Step 4: Simplify right side
    398.71x = 128,119.65
  5. Step 5: Solve for x
    x = 128,119.65/398.71
  6. Step 6: Final answer
    x = 321.34

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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.