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Finding the Fourth Proportional to 428.67, 591.57 and 253.98

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Solution

The fourth proportional to 428.67, 591.57 and 253.98 is: 350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.67 : 591.57 = 253.98 : x
  2. Step 2: Convert to fraction form
    428.67/591.57 = 253.98/x
  3. Step 3: Cross multiply
    428.67x = 591.57 × 253.98
  4. Step 4: Simplify right side
    428.67x = 150,246.95
  5. Step 5: Solve for x
    x = 150,246.95/428.67
  6. Step 6: Final answer
    x = 350.50

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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.