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Finding the Fourth Proportional to 475.33, 655.97 and 268.33

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Solution

The fourth proportional to 475.33, 655.97 and 268.33 is: 370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.33 : 655.97 = 268.33 : x
  2. Step 2: Convert to fraction form
    475.33/655.97 = 268.33/x
  3. Step 3: Cross multiply
    475.33x = 655.97 × 268.33
  4. Step 4: Simplify right side
    475.33x = 176,016.43
  5. Step 5: Solve for x
    x = 176,016.43/475.33
  6. Step 6: Final answer
    x = 370.30

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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.