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Finding the Fourth Proportional to 383.92, 529.80 and 209.26

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Solution

The fourth proportional to 383.92, 529.80 and 209.26 is: 288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.92 : 529.80 = 209.26 : x
  2. Step 2: Convert to fraction form
    383.92/529.80 = 209.26/x
  3. Step 3: Cross multiply
    383.92x = 529.80 × 209.26
  4. Step 4: Simplify right side
    383.92x = 110,865.95
  5. Step 5: Solve for x
    x = 110,865.95/383.92
  6. Step 6: Final answer
    x = 288.77

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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.