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Finding the Fourth Proportional to 423.54, 584.34 and 236.99

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Solution

The fourth proportional to 423.54, 584.34 and 236.99 is: 326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.54 : 584.34 = 236.99 : x
  2. Step 2: Convert to fraction form
    423.54/584.34 = 236.99/x
  3. Step 3: Cross multiply
    423.54x = 584.34 × 236.99
  4. Step 4: Simplify right side
    423.54x = 138,483.31
  5. Step 5: Solve for x
    x = 138,483.31/423.54
  6. Step 6: Final answer
    x = 326.97

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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.