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Finding the Fourth Proportional to 330.85, 495.92 and 209.15

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Solution

The fourth proportional to 330.85, 495.92 and 209.15 is: 313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.85 : 495.92 = 209.15 : x
  2. Step 2: Convert to fraction form
    330.85/495.92 = 209.15/x
  3. Step 3: Cross multiply
    330.85x = 495.92 × 209.15
  4. Step 4: Simplify right side
    330.85x = 103,721.57
  5. Step 5: Solve for x
    x = 103,721.57/330.85
  6. Step 6: Final answer
    x = 313.50

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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.