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Finding the Fourth Proportional to 422.99, 583.75 and 236.48

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Solution

The fourth proportional to 422.99, 583.75 and 236.48 is: 326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.99 : 583.75 = 236.48 : x
  2. Step 2: Convert to fraction form
    422.99/583.75 = 236.48/x
  3. Step 3: Cross multiply
    422.99x = 583.75 × 236.48
  4. Step 4: Simplify right side
    422.99x = 138,044.53
  5. Step 5: Solve for x
    x = 138,044.53/422.99
  6. Step 6: Final answer
    x = 326.35

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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.