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Finding the Fourth Proportional to 290.86, 400.95 and 220.99

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Solution

The fourth proportional to 290.86, 400.95 and 220.99 is: 304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.86 : 400.95 = 220.99 : x
  2. Step 2: Convert to fraction form
    290.86/400.95 = 220.99/x
  3. Step 3: Cross multiply
    290.86x = 400.95 × 220.99
  4. Step 4: Simplify right side
    290.86x = 88,605.94
  5. Step 5: Solve for x
    x = 88,605.94/290.86
  6. Step 6: Final answer
    x = 304.63

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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.