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Finding the Fourth Proportional to 401.29, 553.77 and 224.26

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Solution

The fourth proportional to 401.29, 553.77 and 224.26 is: 309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.29 : 553.77 = 224.26 : x
  2. Step 2: Convert to fraction form
    401.29/553.77 = 224.26/x
  3. Step 3: Cross multiply
    401.29x = 553.77 × 224.26
  4. Step 4: Simplify right side
    401.29x = 124,188.46
  5. Step 5: Solve for x
    x = 124,188.46/401.29
  6. Step 6: Final answer
    x = 309.47

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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.