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Finding the Fourth Proportional to 281.89, 422.50 and 280.53

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Solution

The fourth proportional to 281.89, 422.50 and 280.53 is: 420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.89 : 422.50 = 280.53 : x
  2. Step 2: Convert to fraction form
    281.89/422.50 = 280.53/x
  3. Step 3: Cross multiply
    281.89x = 422.50 × 280.53
  4. Step 4: Simplify right side
    281.89x = 118,523.93
  5. Step 5: Solve for x
    x = 118,523.93/281.89
  6. Step 6: Final answer
    x = 420.46

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Why These Related Problems?

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