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Finding the Fourth Proportional to 339.12, 464.94 and 338.76

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Solution

The fourth proportional to 339.12, 464.94 and 338.76 is: 464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.12 : 464.94 = 338.76 : x
  2. Step 2: Convert to fraction form
    339.12/464.94 = 338.76/x
  3. Step 3: Cross multiply
    339.12x = 464.94 × 338.76
  4. Step 4: Simplify right side
    339.12x = 157,503.07
  5. Step 5: Solve for x
    x = 157,503.07/339.12
  6. Step 6: Final answer
    x = 464.45

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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.