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Finding the Fourth Proportional to 318.68, 440.04 and 208.40

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Solution

The fourth proportional to 318.68, 440.04 and 208.40 is: 287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.68 : 440.04 = 208.40 : x
  2. Step 2: Convert to fraction form
    318.68/440.04 = 208.40/x
  3. Step 3: Cross multiply
    318.68x = 440.04 × 208.40
  4. Step 4: Simplify right side
    318.68x = 91,704.34
  5. Step 5: Solve for x
    x = 91,704.34/318.68
  6. Step 6: Final answer
    x = 287.76

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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.