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Finding the Fourth Proportional to 475.23, 655.65 and 376.77

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Solution

The fourth proportional to 475.23, 655.65 and 376.77 is: 519.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.23 : 655.65 = 376.77 : x
  2. Step 2: Convert to fraction form
    475.23/655.65 = 376.77/x
  3. Step 3: Cross multiply
    475.23x = 655.65 × 376.77
  4. Step 4: Simplify right side
    475.23x = 247,029.25
  5. Step 5: Solve for x
    x = 247,029.25/475.23
  6. Step 6: Final answer
    x = 519.81

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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.