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Finding the Fourth Proportional to 943.56, 1,415.85 and 395.61

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Solution

The fourth proportional to 943.56, 1,415.85 and 395.61 is: 593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.56 : 1,415.85 = 395.61 : x
  2. Step 2: Convert to fraction form
    943.56/1,415.85 = 395.61/x
  3. Step 3: Cross multiply
    943.56x = 1,415.85 × 395.61
  4. Step 4: Simplify right side
    943.56x = 560,124.42
  5. Step 5: Solve for x
    x = 560,124.42/943.56
  6. Step 6: Final answer
    x = 593.63

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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.