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Finding the Fourth Proportional to 305.91, 422.35 and 235.84

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Solution

The fourth proportional to 305.91, 422.35 and 235.84 is: 325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.91 : 422.35 = 235.84 : x
  2. Step 2: Convert to fraction form
    305.91/422.35 = 235.84/x
  3. Step 3: Cross multiply
    305.91x = 422.35 × 235.84
  4. Step 4: Simplify right side
    305.91x = 99,607.02
  5. Step 5: Solve for x
    x = 99,607.02/305.91
  6. Step 6: Final answer
    x = 325.61

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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.