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Finding the Fourth Proportional to 280.40, 422.89 and 277.32

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Solution

The fourth proportional to 280.40, 422.89 and 277.32 is: 418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.40 : 422.89 = 277.32 : x
  2. Step 2: Convert to fraction form
    280.40/422.89 = 277.32/x
  3. Step 3: Cross multiply
    280.40x = 422.89 × 277.32
  4. Step 4: Simplify right side
    280.40x = 117,276.75
  5. Step 5: Solve for x
    x = 117,276.75/280.40
  6. Step 6: Final answer
    x = 418.26

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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.