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Finding the Fourth Proportional to 711.30, 1,066.98 and 224.37

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Solution

The fourth proportional to 711.30, 1,066.98 and 224.37 is: 336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.30 : 1,066.98 = 224.37 : x
  2. Step 2: Convert to fraction form
    711.30/1,066.98 = 224.37/x
  3. Step 3: Cross multiply
    711.30x = 1,066.98 × 224.37
  4. Step 4: Simplify right side
    711.30x = 239,398.30
  5. Step 5: Solve for x
    x = 239,398.30/711.30
  6. Step 6: Final answer
    x = 336.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.