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Finding the Fourth Proportional to 306.58, 423.12 and 208.56

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Solution

The fourth proportional to 306.58, 423.12 and 208.56 is: 287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.58 : 423.12 = 208.56 : x
  2. Step 2: Convert to fraction form
    306.58/423.12 = 208.56/x
  3. Step 3: Cross multiply
    306.58x = 423.12 × 208.56
  4. Step 4: Simplify right side
    306.58x = 88,245.91
  5. Step 5: Solve for x
    x = 88,245.91/306.58
  6. Step 6: Final answer
    x = 287.84

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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.