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Finding the Fourth Proportional to 397.48, 593.35 and 379.72

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Solution

The fourth proportional to 397.48, 593.35 and 379.72 is: 566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.48 : 593.35 = 379.72 : x
  2. Step 2: Convert to fraction form
    397.48/593.35 = 379.72/x
  3. Step 3: Cross multiply
    397.48x = 593.35 × 379.72
  4. Step 4: Simplify right side
    397.48x = 225,306.86
  5. Step 5: Solve for x
    x = 225,306.86/397.48
  6. Step 6: Final answer
    x = 566.84

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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.