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Finding the Fourth Proportional to 337.49, 465.58 and 232.59

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Solution

The fourth proportional to 337.49, 465.58 and 232.59 is: 320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.49 : 465.58 = 232.59 : x
  2. Step 2: Convert to fraction form
    337.49/465.58 = 232.59/x
  3. Step 3: Cross multiply
    337.49x = 465.58 × 232.59
  4. Step 4: Simplify right side
    337.49x = 108,289.25
  5. Step 5: Solve for x
    x = 108,289.25/337.49
  6. Step 6: Final answer
    x = 320.87

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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.