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Finding the Fourth Proportional to 423.33, 584.14 and 236.77

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Solution

The fourth proportional to 423.33, 584.14 and 236.77 is: 326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.33 : 584.14 = 236.77 : x
  2. Step 2: Convert to fraction form
    423.33/584.14 = 236.77/x
  3. Step 3: Cross multiply
    423.33x = 584.14 × 236.77
  4. Step 4: Simplify right side
    423.33x = 138,306.83
  5. Step 5: Solve for x
    x = 138,306.83/423.33
  6. Step 6: Final answer
    x = 326.71

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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.