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Finding the Fourth Proportional to 716.29, 1,074.43 and 277.44

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Solution

The fourth proportional to 716.29, 1,074.43 and 277.44 is: 416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.29 : 1,074.43 = 277.44 : x
  2. Step 2: Convert to fraction form
    716.29/1,074.43 = 277.44/x
  3. Step 3: Cross multiply
    716.29x = 1,074.43 × 277.44
  4. Step 4: Simplify right side
    716.29x = 298,086.18
  5. Step 5: Solve for x
    x = 298,086.18/716.29
  6. Step 6: Final answer
    x = 416.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.