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Finding the Fourth Proportional to 905.25, 1,358.09 and 466.34

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Solution

The fourth proportional to 905.25, 1,358.09 and 466.34 is: 699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.25 : 1,358.09 = 466.34 : x
  2. Step 2: Convert to fraction form
    905.25/1,358.09 = 466.34/x
  3. Step 3: Cross multiply
    905.25x = 1,358.09 × 466.34
  4. Step 4: Simplify right side
    905.25x = 633,322.57
  5. Step 5: Solve for x
    x = 633,322.57/905.25
  6. Step 6: Final answer
    x = 699.61

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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.