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Finding the Fourth Proportional to 943.66, 1,415.16 and 294.22

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Solution

The fourth proportional to 943.66, 1,415.16 and 294.22 is: 441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.66 : 1,415.16 = 294.22 : x
  2. Step 2: Convert to fraction form
    943.66/1,415.16 = 294.22/x
  3. Step 3: Cross multiply
    943.66x = 1,415.16 × 294.22
  4. Step 4: Simplify right side
    943.66x = 416,368.38
  5. Step 5: Solve for x
    x = 416,368.38/943.66
  6. Step 6: Final answer
    x = 441.23

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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.