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Finding the Fourth Proportional to 943.16, 1,414.62 and 326.84

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Solution

The fourth proportional to 943.16, 1,414.62 and 326.84 is: 490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.16 : 1,414.62 = 326.84 : x
  2. Step 2: Convert to fraction form
    943.16/1,414.62 = 326.84/x
  3. Step 3: Cross multiply
    943.16x = 1,414.62 × 326.84
  4. Step 4: Simplify right side
    943.16x = 462,354.40
  5. Step 5: Solve for x
    x = 462,354.40/943.16
  6. Step 6: Final answer
    x = 490.22

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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.