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Finding the Fourth Proportional to 397.24, 594.78 and 204.46

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Solution

The fourth proportional to 397.24, 594.78 and 204.46 is: 306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.24 : 594.78 = 204.46 : x
  2. Step 2: Convert to fraction form
    397.24/594.78 = 204.46/x
  3. Step 3: Cross multiply
    397.24x = 594.78 × 204.46
  4. Step 4: Simplify right side
    397.24x = 121,606.47
  5. Step 5: Solve for x
    x = 121,606.47/397.24
  6. Step 6: Final answer
    x = 306.13

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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.