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Finding the Fourth Proportional to 943.78, 1,415.61 and 294.50

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Solution

The fourth proportional to 943.78, 1,415.61 and 294.50 is: 441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.78 : 1,415.61 = 294.50 : x
  2. Step 2: Convert to fraction form
    943.78/1,415.61 = 294.50/x
  3. Step 3: Cross multiply
    943.78x = 1,415.61 × 294.50
  4. Step 4: Simplify right side
    943.78x = 416,897.15
  5. Step 5: Solve for x
    x = 416,897.15/943.78
  6. Step 6: Final answer
    x = 441.73

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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.