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Finding the Fourth Proportional to 943.10, 1,414.38 and 365.84

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Solution

The fourth proportional to 943.10, 1,414.38 and 365.84 is: 548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.10 : 1,414.38 = 365.84 : x
  2. Step 2: Convert to fraction form
    943.10/1,414.38 = 365.84/x
  3. Step 3: Cross multiply
    943.10x = 1,414.38 × 365.84
  4. Step 4: Simplify right side
    943.10x = 517,436.78
  5. Step 5: Solve for x
    x = 517,436.78/943.10
  6. Step 6: Final answer
    x = 548.66

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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.