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Finding the Fourth Proportional to 906.28, 1,358.92 and 281.41

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Solution

The fourth proportional to 906.28, 1,358.92 and 281.41 is: 421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.28 : 1,358.92 = 281.41 : x
  2. Step 2: Convert to fraction form
    906.28/1,358.92 = 281.41/x
  3. Step 3: Cross multiply
    906.28x = 1,358.92 × 281.41
  4. Step 4: Simplify right side
    906.28x = 382,410.63
  5. Step 5: Solve for x
    x = 382,410.63/906.28
  6. Step 6: Final answer
    x = 421.96

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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.