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Finding the Fourth Proportional to 716.83, 989.22 and 406.33

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Solution

The fourth proportional to 716.83, 989.22 and 406.33 is: 560.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.83 : 989.22 = 406.33 : x
  2. Step 2: Convert to fraction form
    716.83/989.22 = 406.33/x
  3. Step 3: Cross multiply
    716.83x = 989.22 × 406.33
  4. Step 4: Simplify right side
    716.83x = 401,949.76
  5. Step 5: Solve for x
    x = 401,949.76/716.83
  6. Step 6: Final answer
    x = 560.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.