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Finding the Fourth Proportional to 943.87, 1,415.82 and 294.47

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Solution

The fourth proportional to 943.87, 1,415.82 and 294.47 is: 441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.87 : 1,415.82 = 294.47 : x
  2. Step 2: Convert to fraction form
    943.87/1,415.82 = 294.47/x
  3. Step 3: Cross multiply
    943.87x = 1,415.82 × 294.47
  4. Step 4: Simplify right side
    943.87x = 416,916.52
  5. Step 5: Solve for x
    x = 416,916.52/943.87
  6. Step 6: Final answer
    x = 441.71

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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.