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Finding the Fourth Proportional to 397.24, 592.97 and 379.49

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Solution

The fourth proportional to 397.24, 592.97 and 379.49 is: 566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.24 : 592.97 = 379.49 : x
  2. Step 2: Convert to fraction form
    397.24/592.97 = 379.49/x
  3. Step 3: Cross multiply
    397.24x = 592.97 × 379.49
  4. Step 4: Simplify right side
    397.24x = 225,021.32
  5. Step 5: Solve for x
    x = 225,021.32/397.24
  6. Step 6: Final answer
    x = 566.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.