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Finding the Fourth Proportional to 353.13, 486.81 and 290.86

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Solution

The fourth proportional to 353.13, 486.81 and 290.86 is: 400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.13 : 486.81 = 290.86 : x
  2. Step 2: Convert to fraction form
    353.13/486.81 = 290.86/x
  3. Step 3: Cross multiply
    353.13x = 486.81 × 290.86
  4. Step 4: Simplify right side
    353.13x = 141,592.34
  5. Step 5: Solve for x
    x = 141,592.34/353.13
  6. Step 6: Final answer
    x = 400.97

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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.