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Finding the Fourth Proportional to 353.11, 486.65 and 290.54

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Solution

The fourth proportional to 353.11, 486.65 and 290.54 is: 400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.11 : 486.65 = 290.54 : x
  2. Step 2: Convert to fraction form
    353.11/486.65 = 290.54/x
  3. Step 3: Cross multiply
    353.11x = 486.65 × 290.54
  4. Step 4: Simplify right side
    353.11x = 141,391.29
  5. Step 5: Solve for x
    x = 141,391.29/353.11
  6. Step 6: Final answer
    x = 400.42

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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.