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Finding the Fourth Proportional to 475.83, 712.42 and 244.22

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Solution

The fourth proportional to 475.83, 712.42 and 244.22 is: 365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.83 : 712.42 = 244.22 : x
  2. Step 2: Convert to fraction form
    475.83/712.42 = 244.22/x
  3. Step 3: Cross multiply
    475.83x = 712.42 × 244.22
  4. Step 4: Simplify right side
    475.83x = 173,987.21
  5. Step 5: Solve for x
    x = 173,987.21/475.83
  6. Step 6: Final answer
    x = 365.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.