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Finding the Fourth Proportional to 383.41, 529.11 and 208.76

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Solution

The fourth proportional to 383.41, 529.11 and 208.76 is: 288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.41 : 529.11 = 208.76 : x
  2. Step 2: Convert to fraction form
    383.41/529.11 = 208.76/x
  3. Step 3: Cross multiply
    383.41x = 529.11 × 208.76
  4. Step 4: Simplify right side
    383.41x = 110,456.43
  5. Step 5: Solve for x
    x = 110,456.43/383.41
  6. Step 6: Final answer
    x = 288.09

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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.