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Finding the Fourth Proportional to 319.49, 440.47 and 208.92

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Solution

The fourth proportional to 319.49, 440.47 and 208.92 is: 288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.49 : 440.47 = 208.92 : x
  2. Step 2: Convert to fraction form
    319.49/440.47 = 208.92/x
  3. Step 3: Cross multiply
    319.49x = 440.47 × 208.92
  4. Step 4: Simplify right side
    319.49x = 92,024.91
  5. Step 5: Solve for x
    x = 92,024.91/319.49
  6. Step 6: Final answer
    x = 288.04

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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.