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Finding the Fourth Proportional to 428.23, 591.02 and 253.54

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Solution

The fourth proportional to 428.23, 591.02 and 253.54 is: 349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.23 : 591.02 = 253.54 : x
  2. Step 2: Convert to fraction form
    428.23/591.02 = 253.54/x
  3. Step 3: Cross multiply
    428.23x = 591.02 × 253.54
  4. Step 4: Simplify right side
    428.23x = 149,847.21
  5. Step 5: Solve for x
    x = 149,847.21/428.23
  6. Step 6: Final answer
    x = 349.92

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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.