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Finding the Fourth Proportional to 397.16, 595.38 and 204.60

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Solution

The fourth proportional to 397.16, 595.38 and 204.60 is: 306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.16 : 595.38 = 204.60 : x
  2. Step 2: Convert to fraction form
    397.16/595.38 = 204.60/x
  3. Step 3: Cross multiply
    397.16x = 595.38 × 204.60
  4. Step 4: Simplify right side
    397.16x = 121,814.75
  5. Step 5: Solve for x
    x = 121,814.75/397.16
  6. Step 6: Final answer
    x = 306.71

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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.