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Finding the Fourth Proportional to 339.12, 465.48 and 320.90

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Solution

The fourth proportional to 339.12, 465.48 and 320.90 is: 440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.12 : 465.48 = 320.90 : x
  2. Step 2: Convert to fraction form
    339.12/465.48 = 320.90/x
  3. Step 3: Cross multiply
    339.12x = 465.48 × 320.90
  4. Step 4: Simplify right side
    339.12x = 149,370.20
  5. Step 5: Solve for x
    x = 149,370.20/339.12
  6. Step 6: Final answer
    x = 440.46

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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.