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Finding the Fourth Proportional to 439.97, 659.32 and 233.93

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Solution

The fourth proportional to 439.97, 659.32 and 233.93 is: 350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.97 : 659.32 = 233.93 : x
  2. Step 2: Convert to fraction form
    439.97/659.32 = 233.93/x
  3. Step 3: Cross multiply
    439.97x = 659.32 × 233.93
  4. Step 4: Simplify right side
    439.97x = 154,235.79
  5. Step 5: Solve for x
    x = 154,235.79/439.97
  6. Step 6: Final answer
    x = 350.56

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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.