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Finding the Fourth Proportional to 326.31, 488.85 and 233.57

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Solution

The fourth proportional to 326.31, 488.85 and 233.57 is: 349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.31 : 488.85 = 233.57 : x
  2. Step 2: Convert to fraction form
    326.31/488.85 = 233.57/x
  3. Step 3: Cross multiply
    326.31x = 488.85 × 233.57
  4. Step 4: Simplify right side
    326.31x = 114,178.25
  5. Step 5: Solve for x
    x = 114,178.25/326.31
  6. Step 6: Final answer
    x = 349.91

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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.