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Finding the Fourth Proportional to 905.18, 1,358.07 and 442.97

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Solution

The fourth proportional to 905.18, 1,358.07 and 442.97 is: 664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.18 : 1,358.07 = 442.97 : x
  2. Step 2: Convert to fraction form
    905.18/1,358.07 = 442.97/x
  3. Step 3: Cross multiply
    905.18x = 1,358.07 × 442.97
  4. Step 4: Simplify right side
    905.18x = 601,580.91
  5. Step 5: Solve for x
    x = 601,580.91/905.18
  6. Step 6: Final answer
    x = 664.60

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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.