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Finding the Fourth Proportional to 428.90, 591.96 and 279.59

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Solution

The fourth proportional to 428.90, 591.96 and 279.59 is: 385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.90 : 591.96 = 279.59 : x
  2. Step 2: Convert to fraction form
    428.90/591.96 = 279.59/x
  3. Step 3: Cross multiply
    428.90x = 591.96 × 279.59
  4. Step 4: Simplify right side
    428.90x = 165,503.14
  5. Step 5: Solve for x
    x = 165,503.14/428.90
  6. Step 6: Final answer
    x = 385.88

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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.