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Finding the Fourth Proportional to 397.44, 592.48 and 379.20

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Solution

The fourth proportional to 397.44, 592.48 and 379.20 is: 565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.44 : 592.48 = 379.20 : x
  2. Step 2: Convert to fraction form
    397.44/592.48 = 379.20/x
  3. Step 3: Cross multiply
    397.44x = 592.48 × 379.20
  4. Step 4: Simplify right side
    397.44x = 224,668.42
  5. Step 5: Solve for x
    x = 224,668.42/397.44
  6. Step 6: Final answer
    x = 565.29

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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.