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Finding the Fourth Proportional to 716.34, 1,074.51 and 331.54

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Solution

The fourth proportional to 716.34, 1,074.51 and 331.54 is: 497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.34 : 1,074.51 = 331.54 : x
  2. Step 2: Convert to fraction form
    716.34/1,074.51 = 331.54/x
  3. Step 3: Cross multiply
    716.34x = 1,074.51 × 331.54
  4. Step 4: Simplify right side
    716.34x = 356,243.05
  5. Step 5: Solve for x
    x = 356,243.05/716.34
  6. Step 6: Final answer
    x = 497.31

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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.