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Finding the Fourth Proportional to 422.84, 583.52 and 236.34

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Solution

The fourth proportional to 422.84, 583.52 and 236.34 is: 326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.84 : 583.52 = 236.34 : x
  2. Step 2: Convert to fraction form
    422.84/583.52 = 236.34/x
  3. Step 3: Cross multiply
    422.84x = 583.52 × 236.34
  4. Step 4: Simplify right side
    422.84x = 137,909.12
  5. Step 5: Solve for x
    x = 137,909.12/422.84
  6. Step 6: Final answer
    x = 326.15

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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.