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Finding the Fourth Proportional to 428.92, 591.92 and 242.41

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Solution

The fourth proportional to 428.92, 591.92 and 242.41 is: 334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.92 : 591.92 = 242.41 : x
  2. Step 2: Convert to fraction form
    428.92/591.92 = 242.41/x
  3. Step 3: Cross multiply
    428.92x = 591.92 × 242.41
  4. Step 4: Simplify right side
    428.92x = 143,487.33
  5. Step 5: Solve for x
    x = 143,487.33/428.92
  6. Step 6: Final answer
    x = 334.54

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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.