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Finding the Fourth Proportional to 383.81, 529.67 and 209.16

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Solution

The fourth proportional to 383.81, 529.67 and 209.16 is: 288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.81 : 529.67 = 209.16 : x
  2. Step 2: Convert to fraction form
    383.81/529.67 = 209.16/x
  3. Step 3: Cross multiply
    383.81x = 529.67 × 209.16
  4. Step 4: Simplify right side
    383.81x = 110,785.78
  5. Step 5: Solve for x
    x = 110,785.78/383.81
  6. Step 6: Final answer
    x = 288.65

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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.