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Finding the Fourth Proportional to 410.73, 566.81 and 224.22

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Solution

The fourth proportional to 410.73, 566.81 and 224.22 is: 309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.73 : 566.81 = 224.22 : x
  2. Step 2: Convert to fraction form
    410.73/566.81 = 224.22/x
  3. Step 3: Cross multiply
    410.73x = 566.81 × 224.22
  4. Step 4: Simplify right side
    410.73x = 127,088.37
  5. Step 5: Solve for x
    x = 127,088.37/410.73
  6. Step 6: Final answer
    x = 309.42

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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.