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Finding the Fourth Proportional to 423.32, 584.16 and 236.81

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Solution

The fourth proportional to 423.32, 584.16 and 236.81 is: 326.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.32 : 584.16 = 236.81 : x
  2. Step 2: Convert to fraction form
    423.32/584.16 = 236.81/x
  3. Step 3: Cross multiply
    423.32x = 584.16 × 236.81
  4. Step 4: Simplify right side
    423.32x = 138,334.93
  5. Step 5: Solve for x
    x = 138,334.93/423.32
  6. Step 6: Final answer
    x = 326.79

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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.