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Finding the Fourth Proportional to 428.38, 591.46 and 281.22

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Solution

The fourth proportional to 428.38, 591.46 and 281.22 is: 388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.38 : 591.46 = 281.22 : x
  2. Step 2: Convert to fraction form
    428.38/591.46 = 281.22/x
  3. Step 3: Cross multiply
    428.38x = 591.46 × 281.22
  4. Step 4: Simplify right side
    428.38x = 166,330.38
  5. Step 5: Solve for x
    x = 166,330.38/428.38
  6. Step 6: Final answer
    x = 388.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.