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Finding the Fourth Proportional to 280.47, 422.27 and 246.45

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Solution

The fourth proportional to 280.47, 422.27 and 246.45 is: 371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.47 : 422.27 = 246.45 : x
  2. Step 2: Convert to fraction form
    280.47/422.27 = 246.45/x
  3. Step 3: Cross multiply
    280.47x = 422.27 × 246.45
  4. Step 4: Simplify right side
    280.47x = 104,067.21
  5. Step 5: Solve for x
    x = 104,067.21/280.47
  6. Step 6: Final answer
    x = 371.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.