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Finding the Fourth Proportional to 428.82, 591.77 and 242.27

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Solution

The fourth proportional to 428.82, 591.77 and 242.27 is: 334.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.82 : 591.77 = 242.27 : x
  2. Step 2: Convert to fraction form
    428.82/591.77 = 242.27/x
  3. Step 3: Cross multiply
    428.82x = 591.77 × 242.27
  4. Step 4: Simplify right side
    428.82x = 143,367.98
  5. Step 5: Solve for x
    x = 143,367.98/428.82
  6. Step 6: Final answer
    x = 334.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.