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Finding the Fourth Proportional to 326.40, 488.96 and 249.44

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Solution

The fourth proportional to 326.40, 488.96 and 249.44 is: 373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.40 : 488.96 = 249.44 : x
  2. Step 2: Convert to fraction form
    326.40/488.96 = 249.44/x
  3. Step 3: Cross multiply
    326.40x = 488.96 × 249.44
  4. Step 4: Simplify right side
    326.40x = 121,966.18
  5. Step 5: Solve for x
    x = 121,966.18/326.40
  6. Step 6: Final answer
    x = 373.67

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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.