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Finding the Fourth Proportional to 716.27, 988.47 and 450.80

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Solution

The fourth proportional to 716.27, 988.47 and 450.80 is: 622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.27 : 988.47 = 450.80 : x
  2. Step 2: Convert to fraction form
    716.27/988.47 = 450.80/x
  3. Step 3: Cross multiply
    716.27x = 988.47 × 450.80
  4. Step 4: Simplify right side
    716.27x = 445,597.33
  5. Step 5: Solve for x
    x = 445,597.33/716.27
  6. Step 6: Final answer
    x = 622.11

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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.