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Finding the Fourth Proportional to 281.69, 421.88 and 271.96

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Solution

The fourth proportional to 281.69, 421.88 and 271.96 is: 407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.69 : 421.88 = 271.96 : x
  2. Step 2: Convert to fraction form
    281.69/421.88 = 271.96/x
  3. Step 3: Cross multiply
    281.69x = 421.88 × 271.96
  4. Step 4: Simplify right side
    281.69x = 114,734.48
  5. Step 5: Solve for x
    x = 114,734.48/281.69
  6. Step 6: Final answer
    x = 407.31

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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.