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Finding the Fourth Proportional to 428.28, 591.24 and 296.20

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Solution

The fourth proportional to 428.28, 591.24 and 296.20 is: 408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.28 : 591.24 = 296.20 : x
  2. Step 2: Convert to fraction form
    428.28/591.24 = 296.20/x
  3. Step 3: Cross multiply
    428.28x = 591.24 × 296.20
  4. Step 4: Simplify right side
    428.28x = 175,125.29
  5. Step 5: Solve for x
    x = 175,125.29/428.28
  6. Step 6: Final answer
    x = 408.90

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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.