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Finding the Fourth Proportional to 318.40, 438.08 and 279.68

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Solution

The fourth proportional to 318.40, 438.08 and 279.68 is: 384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.40 : 438.08 = 279.68 : x
  2. Step 2: Convert to fraction form
    318.40/438.08 = 279.68/x
  3. Step 3: Cross multiply
    318.40x = 438.08 × 279.68
  4. Step 4: Simplify right side
    318.40x = 122,522.21
  5. Step 5: Solve for x
    x = 122,522.21/318.40
  6. Step 6: Final answer
    x = 384.81

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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.