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Finding the Fourth Proportional to 979.46, 1,469.33 and 286.18

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Solution

The fourth proportional to 979.46, 1,469.33 and 286.18 is: 429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.46 : 1,469.33 = 286.18 : x
  2. Step 2: Convert to fraction form
    979.46/1,469.33 = 286.18/x
  3. Step 3: Cross multiply
    979.46x = 1,469.33 × 286.18
  4. Step 4: Simplify right side
    979.46x = 420,490.31
  5. Step 5: Solve for x
    x = 420,490.31/979.46
  6. Step 6: Final answer
    x = 429.31

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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.