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Finding the Fourth Proportional to 428.97, 591.97 and 232.48

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Solution

The fourth proportional to 428.97, 591.97 and 232.48 is: 320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.97 : 591.97 = 232.48 : x
  2. Step 2: Convert to fraction form
    428.97/591.97 = 232.48/x
  3. Step 3: Cross multiply
    428.97x = 591.97 × 232.48
  4. Step 4: Simplify right side
    428.97x = 137,617.06
  5. Step 5: Solve for x
    x = 137,617.06/428.97
  6. Step 6: Final answer
    x = 320.81

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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.