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Finding the Fourth Proportional to 717.02, 989.09 and 422.11

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Solution

The fourth proportional to 717.02, 989.09 and 422.11 is: 582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.02 : 989.09 = 422.11 : x
  2. Step 2: Convert to fraction form
    717.02/989.09 = 422.11/x
  3. Step 3: Cross multiply
    717.02x = 989.09 × 422.11
  4. Step 4: Simplify right side
    717.02x = 417,499.83
  5. Step 5: Solve for x
    x = 417,499.83/717.02
  6. Step 6: Final answer
    x = 582.27

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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.