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Finding the Fourth Proportional to 428.66, 591.73 and 281.42

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Solution

The fourth proportional to 428.66, 591.73 and 281.42 is: 388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.66 : 591.73 = 281.42 : x
  2. Step 2: Convert to fraction form
    428.66/591.73 = 281.42/x
  3. Step 3: Cross multiply
    428.66x = 591.73 × 281.42
  4. Step 4: Simplify right side
    428.66x = 166,524.66
  5. Step 5: Solve for x
    x = 166,524.66/428.66
  6. Step 6: Final answer
    x = 388.48

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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.