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Finding the Fourth Proportional to 332.83, 458.67 and 239.41

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Solution

The fourth proportional to 332.83, 458.67 and 239.41 is: 329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.83 : 458.67 = 239.41 : x
  2. Step 2: Convert to fraction form
    332.83/458.67 = 239.41/x
  3. Step 3: Cross multiply
    332.83x = 458.67 × 239.41
  4. Step 4: Simplify right side
    332.83x = 109,811.66
  5. Step 5: Solve for x
    x = 109,811.66/332.83
  6. Step 6: Final answer
    x = 329.93

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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.