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Finding the Fourth Proportional to 401.32, 553.81 and 224.29

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Solution

The fourth proportional to 401.32, 553.81 and 224.29 is: 309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.32 : 553.81 = 224.29 : x
  2. Step 2: Convert to fraction form
    401.32/553.81 = 224.29/x
  3. Step 3: Cross multiply
    401.32x = 553.81 × 224.29
  4. Step 4: Simplify right side
    401.32x = 124,216.79
  5. Step 5: Solve for x
    x = 124,216.79/401.32
  6. Step 6: Final answer
    x = 309.52

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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.