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Finding the Fourth Proportional to 428.97, 591.98 and 232.49

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Solution

The fourth proportional to 428.97, 591.98 and 232.49 is: 320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.97 : 591.98 = 232.49 : x
  2. Step 2: Convert to fraction form
    428.97/591.98 = 232.49/x
  3. Step 3: Cross multiply
    428.97x = 591.98 × 232.49
  4. Step 4: Simplify right side
    428.97x = 137,627.05
  5. Step 5: Solve for x
    x = 137,627.05/428.97
  6. Step 6: Final answer
    x = 320.83

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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.