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Finding the Fourth Proportional to 817.44, 1,225.92 and 330.40

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Solution

The fourth proportional to 817.44, 1,225.92 and 330.40 is: 495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.44 : 1,225.92 = 330.40 : x
  2. Step 2: Convert to fraction form
    817.44/1,225.92 = 330.40/x
  3. Step 3: Cross multiply
    817.44x = 1,225.92 × 330.40
  4. Step 4: Simplify right side
    817.44x = 405,043.97
  5. Step 5: Solve for x
    x = 405,043.97/817.44
  6. Step 6: Final answer
    x = 495.50

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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.