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Finding the Fourth Proportional to 306.46, 422.54 and 208.32

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Solution

The fourth proportional to 306.46, 422.54 and 208.32 is: 287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.46 : 422.54 = 208.32 : x
  2. Step 2: Convert to fraction form
    306.46/422.54 = 208.32/x
  3. Step 3: Cross multiply
    306.46x = 422.54 × 208.32
  4. Step 4: Simplify right side
    306.46x = 88,023.53
  5. Step 5: Solve for x
    x = 88,023.53/306.46
  6. Step 6: Final answer
    x = 287.23

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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.