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Finding the Fourth Proportional to 428.30, 591.56 and 281.60

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Solution

The fourth proportional to 428.30, 591.56 and 281.60 is: 388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.30 : 591.56 = 281.60 : x
  2. Step 2: Convert to fraction form
    428.30/591.56 = 281.60/x
  3. Step 3: Cross multiply
    428.30x = 591.56 × 281.60
  4. Step 4: Simplify right side
    428.30x = 166,583.30
  5. Step 5: Solve for x
    x = 166,583.30/428.30
  6. Step 6: Final answer
    x = 388.94

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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.