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Finding the Fourth Proportional to 438.98, 605.63 and 281.64

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Solution

The fourth proportional to 438.98, 605.63 and 281.64 is: 388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.98 : 605.63 = 281.64 : x
  2. Step 2: Convert to fraction form
    438.98/605.63 = 281.64/x
  3. Step 3: Cross multiply
    438.98x = 605.63 × 281.64
  4. Step 4: Simplify right side
    438.98x = 170,568.23
  5. Step 5: Solve for x
    x = 170,568.23/438.98
  6. Step 6: Final answer
    x = 388.56

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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.