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Finding the Fourth Proportional to 475.45, 655.42 and 377.23

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Solution

The fourth proportional to 475.45, 655.42 and 377.23 is: 520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.45 : 655.42 = 377.23 : x
  2. Step 2: Convert to fraction form
    475.45/655.42 = 377.23/x
  3. Step 3: Cross multiply
    475.45x = 655.42 × 377.23
  4. Step 4: Simplify right side
    475.45x = 247,244.09
  5. Step 5: Solve for x
    x = 247,244.09/475.45
  6. Step 6: Final answer
    x = 520.02

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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.