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Finding the Fourth Proportional to 306.92, 423.04 and 208.64

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Solution

The fourth proportional to 306.92, 423.04 and 208.64 is: 287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.92 : 423.04 = 208.64 : x
  2. Step 2: Convert to fraction form
    306.92/423.04 = 208.64/x
  3. Step 3: Cross multiply
    306.92x = 423.04 × 208.64
  4. Step 4: Simplify right side
    306.92x = 88,263.07
  5. Step 5: Solve for x
    x = 88,263.07/306.92
  6. Step 6: Final answer
    x = 287.58

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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.