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Finding the Fourth Proportional to 1,304.20, 1,956.20 and 330.28

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Solution

The fourth proportional to 1,304.20, 1,956.20 and 330.28 is: 495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.20 : 1,956.20 = 330.28 : x
  2. Step 2: Convert to fraction form
    1,304.20/1,956.20 = 330.28/x
  3. Step 3: Cross multiply
    1,304.20x = 1,956.20 × 330.28
  4. Step 4: Simplify right side
    1,304.20x = 646,093.74
  5. Step 5: Solve for x
    x = 646,093.74/1,304.20
  6. Step 6: Final answer
    x = 495.39

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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.