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Finding the Fourth Proportional to 604.38, 905.49 and 311.52

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Solution

The fourth proportional to 604.38, 905.49 and 311.52 is: 466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.38 : 905.49 = 311.52 : x
  2. Step 2: Convert to fraction form
    604.38/905.49 = 311.52/x
  3. Step 3: Cross multiply
    604.38x = 905.49 × 311.52
  4. Step 4: Simplify right side
    604.38x = 282,078.24
  5. Step 5: Solve for x
    x = 282,078.24/604.38
  6. Step 6: Final answer
    x = 466.72

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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.