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Finding the Fourth Proportional to 943.19, 1,414.71 and 293.90

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Solution

The fourth proportional to 943.19, 1,414.71 and 293.90 is: 440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.19 : 1,414.71 = 293.90 : x
  2. Step 2: Convert to fraction form
    943.19/1,414.71 = 293.90/x
  3. Step 3: Cross multiply
    943.19x = 1,414.71 × 293.90
  4. Step 4: Simplify right side
    943.19x = 415,776.20
  5. Step 5: Solve for x
    x = 415,776.20/943.19
  6. Step 6: Final answer
    x = 440.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.