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Finding the Fourth Proportional to 333.19, 499.38 and 217.36

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Solution

The fourth proportional to 333.19, 499.38 and 217.36 is: 325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.19 : 499.38 = 217.36 : x
  2. Step 2: Convert to fraction form
    333.19/499.38 = 217.36/x
  3. Step 3: Cross multiply
    333.19x = 499.38 × 217.36
  4. Step 4: Simplify right side
    333.19x = 108,545.24
  5. Step 5: Solve for x
    x = 108,545.24/333.19
  6. Step 6: Final answer
    x = 325.78

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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.