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Finding the Fourth Proportional to 326.33, 488.98 and 229

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Solution

The fourth proportional to 326.33, 488.98 and 229 is: 343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.33 : 488.98 = 229 : x
  2. Step 2: Convert to fraction form
    326.33/488.98 = 229/x
  3. Step 3: Cross multiply
    326.33x = 488.98 × 229
  4. Step 4: Simplify right side
    326.33x = 111,976.42
  5. Step 5: Solve for x
    x = 111,976.42/326.33
  6. Step 6: Final answer
    x = 343.14

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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.