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Finding the Fourth Proportional to 319.53, 440.82 and 209.19

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Solution

The fourth proportional to 319.53, 440.82 and 209.19 is: 288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.53 : 440.82 = 209.19 : x
  2. Step 2: Convert to fraction form
    319.53/440.82 = 209.19/x
  3. Step 3: Cross multiply
    319.53x = 440.82 × 209.19
  4. Step 4: Simplify right side
    319.53x = 92,215.14
  5. Step 5: Solve for x
    x = 92,215.14/319.53
  6. Step 6: Final answer
    x = 288.60

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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.