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Finding the Fourth Proportional to 383.96, 529.86 and 209.30

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Solution

The fourth proportional to 383.96, 529.86 and 209.30 is: 288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.96 : 529.86 = 209.30 : x
  2. Step 2: Convert to fraction form
    383.96/529.86 = 209.30/x
  3. Step 3: Cross multiply
    383.96x = 529.86 × 209.30
  4. Step 4: Simplify right side
    383.96x = 110,899.70
  5. Step 5: Solve for x
    x = 110,899.70/383.96
  6. Step 6: Final answer
    x = 288.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.