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Finding the Fourth Proportional to 979.61, 1,469.40 and 330.34

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Solution

The fourth proportional to 979.61, 1,469.40 and 330.34 is: 495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.61 : 1,469.40 = 330.34 : x
  2. Step 2: Convert to fraction form
    979.61/1,469.40 = 330.34/x
  3. Step 3: Cross multiply
    979.61x = 1,469.40 × 330.34
  4. Step 4: Simplify right side
    979.61x = 485,401.60
  5. Step 5: Solve for x
    x = 485,401.60/979.61
  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.