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Finding the Fourth Proportional to 388.56, 581.44 and 285.56

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Solution

The fourth proportional to 388.56, 581.44 and 285.56 is: 427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.56 : 581.44 = 285.56 : x
  2. Step 2: Convert to fraction form
    388.56/581.44 = 285.56/x
  3. Step 3: Cross multiply
    388.56x = 581.44 × 285.56
  4. Step 4: Simplify right side
    388.56x = 166,036.01
  5. Step 5: Solve for x
    x = 166,036.01/388.56
  6. Step 6: Final answer
    x = 427.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.