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Finding the Fourth Proportional to 422.80, 583.68 and 248.32

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Solution

The fourth proportional to 422.80, 583.68 and 248.32 is: 342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.80 : 583.68 = 248.32 : x
  2. Step 2: Convert to fraction form
    422.80/583.68 = 248.32/x
  3. Step 3: Cross multiply
    422.80x = 583.68 × 248.32
  4. Step 4: Simplify right side
    422.80x = 144,939.42
  5. Step 5: Solve for x
    x = 144,939.42/422.80
  6. Step 6: Final answer
    x = 342.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.