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Finding the Fourth Proportional to 717.46, 1,076.22 and 352.54

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Solution

The fourth proportional to 717.46, 1,076.22 and 352.54 is: 528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.46 : 1,076.22 = 352.54 : x
  2. Step 2: Convert to fraction form
    717.46/1,076.22 = 352.54/x
  3. Step 3: Cross multiply
    717.46x = 1,076.22 × 352.54
  4. Step 4: Simplify right side
    717.46x = 379,410.60
  5. Step 5: Solve for x
    x = 379,410.60/717.46
  6. Step 6: Final answer
    x = 528.82

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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.