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Finding the Fourth Proportional to 327.08, 451.35 and 208.88

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Solution

The fourth proportional to 327.08, 451.35 and 208.88 is: 288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.08 : 451.35 = 208.88 : x
  2. Step 2: Convert to fraction form
    327.08/451.35 = 208.88/x
  3. Step 3: Cross multiply
    327.08x = 451.35 × 208.88
  4. Step 4: Simplify right side
    327.08x = 94,279.12
  5. Step 5: Solve for x
    x = 94,279.12/327.08
  6. Step 6: Final answer
    x = 288.25

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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.