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Finding the Fourth Proportional to 716.75, 989.25 and 406.25

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Solution

The fourth proportional to 716.75, 989.25 and 406.25 is: 560.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.75 : 989.25 = 406.25 : x
  2. Step 2: Convert to fraction form
    716.75/989.25 = 406.25/x
  3. Step 3: Cross multiply
    716.75x = 989.25 × 406.25
  4. Step 4: Simplify right side
    716.75x = 401,882.81
  5. Step 5: Solve for x
    x = 401,882.81/716.75
  6. Step 6: Final answer
    x = 560.70

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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.