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Finding the Fourth Proportional to 319.49, 440.58 and 208.92

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Solution

The fourth proportional to 319.49, 440.58 and 208.92 is: 288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.49 : 440.58 = 208.92 : x
  2. Step 2: Convert to fraction form
    319.49/440.58 = 208.92/x
  3. Step 3: Cross multiply
    319.49x = 440.58 × 208.92
  4. Step 4: Simplify right side
    319.49x = 92,045.97
  5. Step 5: Solve for x
    x = 92,045.97/319.49
  6. Step 6: Final answer
    x = 288.11

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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.