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Finding the Fourth Proportional to 438.96, 605.60 and 281.56

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Solution

The fourth proportional to 438.96, 605.60 and 281.56 is: 388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.96 : 605.60 = 281.56 : x
  2. Step 2: Convert to fraction form
    438.96/605.60 = 281.56/x
  3. Step 3: Cross multiply
    438.96x = 605.60 × 281.56
  4. Step 4: Simplify right side
    438.96x = 170,512.74
  5. Step 5: Solve for x
    x = 170,512.74/438.96
  6. Step 6: Final answer
    x = 388.45

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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.