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Finding the Fourth Proportional to 428.58, 591.43 and 232.09

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Solution

The fourth proportional to 428.58, 591.43 and 232.09 is: 320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.58 : 591.43 = 232.09 : x
  2. Step 2: Convert to fraction form
    428.58/591.43 = 232.09/x
  3. Step 3: Cross multiply
    428.58x = 591.43 × 232.09
  4. Step 4: Simplify right side
    428.58x = 137,263.80
  5. Step 5: Solve for x
    x = 137,263.80/428.58
  6. Step 6: Final answer
    x = 320.28

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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.