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Finding the Fourth Proportional to 711.38, 1,067.22 and 272.63

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Solution

The fourth proportional to 711.38, 1,067.22 and 272.63 is: 409.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.38 : 1,067.22 = 272.63 : x
  2. Step 2: Convert to fraction form
    711.38/1,067.22 = 272.63/x
  3. Step 3: Cross multiply
    711.38x = 1,067.22 × 272.63
  4. Step 4: Simplify right side
    711.38x = 290,951.83
  5. Step 5: Solve for x
    x = 290,951.83/711.38
  6. Step 6: Final answer
    x = 409.00

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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.