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Finding the Fourth Proportional to 422.72, 583.42 and 248.07

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Solution

The fourth proportional to 422.72, 583.42 and 248.07 is: 342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.72 : 583.42 = 248.07 : x
  2. Step 2: Convert to fraction form
    422.72/583.42 = 248.07/x
  3. Step 3: Cross multiply
    422.72x = 583.42 × 248.07
  4. Step 4: Simplify right side
    422.72x = 144,728.38
  5. Step 5: Solve for x
    x = 144,728.38/422.72
  6. Step 6: Final answer
    x = 342.37

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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.