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Finding the Fourth Proportional to 338.97, 465.98 and 291.53

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Solution

The fourth proportional to 338.97, 465.98 and 291.53 is: 400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.97 : 465.98 = 291.53 : x
  2. Step 2: Convert to fraction form
    338.97/465.98 = 291.53/x
  3. Step 3: Cross multiply
    338.97x = 465.98 × 291.53
  4. Step 4: Simplify right side
    338.97x = 135,850.46
  5. Step 5: Solve for x
    x = 135,850.46/338.97
  6. Step 6: Final answer
    x = 400.77

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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.