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Finding the Fourth Proportional to 979.46, 1,469.16 and 363.15

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Solution

The fourth proportional to 979.46, 1,469.16 and 363.15 is: 544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.46 : 1,469.16 = 363.15 : x
  2. Step 2: Convert to fraction form
    979.46/1,469.16 = 363.15/x
  3. Step 3: Cross multiply
    979.46x = 1,469.16 × 363.15
  4. Step 4: Simplify right side
    979.46x = 533,525.45
  5. Step 5: Solve for x
    x = 533,525.45/979.46
  6. Step 6: Final answer
    x = 544.71

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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.