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Finding the Fourth Proportional to 709.73, 1,064.28 and 222.68

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Solution

The fourth proportional to 709.73, 1,064.28 and 222.68 is: 333.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.73 : 1,064.28 = 222.68 : x
  2. Step 2: Convert to fraction form
    709.73/1,064.28 = 222.68/x
  3. Step 3: Cross multiply
    709.73x = 1,064.28 × 222.68
  4. Step 4: Simplify right side
    709.73x = 236,988.55
  5. Step 5: Solve for x
    x = 236,988.55/709.73
  6. Step 6: Final answer
    x = 333.92

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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.