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Finding the Fourth Proportional to 943.46, 1,415.16 and 294.20

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Solution

The fourth proportional to 943.46, 1,415.16 and 294.20 is: 441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.46 : 1,415.16 = 294.20 : x
  2. Step 2: Convert to fraction form
    943.46/1,415.16 = 294.20/x
  3. Step 3: Cross multiply
    943.46x = 1,415.16 × 294.20
  4. Step 4: Simplify right side
    943.46x = 416,333.00
  5. Step 5: Solve for x
    x = 416,333.00/943.46
  6. Step 6: Final answer
    x = 441.29

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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.