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Finding the Fourth Proportional to 475.43, 655.34 and 377.01

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Solution

The fourth proportional to 475.43, 655.34 and 377.01 is: 519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.43 : 655.34 = 377.01 : x
  2. Step 2: Convert to fraction form
    475.43/655.34 = 377.01/x
  3. Step 3: Cross multiply
    475.43x = 655.34 × 377.01
  4. Step 4: Simplify right side
    475.43x = 247,067.85
  5. Step 5: Solve for x
    x = 247,067.85/475.43
  6. Step 6: Final answer
    x = 519.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.