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Finding the Fourth Proportional to 422.69, 583.34 and 248.13

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Solution

The fourth proportional to 422.69, 583.34 and 248.13 is: 342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.69 : 583.34 = 248.13 : x
  2. Step 2: Convert to fraction form
    422.69/583.34 = 248.13/x
  3. Step 3: Cross multiply
    422.69x = 583.34 × 248.13
  4. Step 4: Simplify right side
    422.69x = 144,742.91
  5. Step 5: Solve for x
    x = 144,742.91/422.69
  6. Step 6: Final answer
    x = 342.44

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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.