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Finding the Fourth Proportional to 471.98, 708.09 and 240.77

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Solution

The fourth proportional to 471.98, 708.09 and 240.77 is: 361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.98 : 708.09 = 240.77 : x
  2. Step 2: Convert to fraction form
    471.98/708.09 = 240.77/x
  3. Step 3: Cross multiply
    471.98x = 708.09 × 240.77
  4. Step 4: Simplify right side
    471.98x = 170,489.05
  5. Step 5: Solve for x
    x = 170,489.05/471.98
  6. Step 6: Final answer
    x = 361.22

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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.