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Finding the Fourth Proportional to 320.40, 438.96 and 308.10

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Solution

The fourth proportional to 320.40, 438.96 and 308.10 is: 422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.40 : 438.96 = 308.10 : x
  2. Step 2: Convert to fraction form
    320.40/438.96 = 308.10/x
  3. Step 3: Cross multiply
    320.40x = 438.96 × 308.10
  4. Step 4: Simplify right side
    320.40x = 135,243.58
  5. Step 5: Solve for x
    x = 135,243.58/320.40
  6. Step 6: Final answer
    x = 422.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.