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Finding the Fourth Proportional to 471.81, 708.16 and 240.86

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Solution

The fourth proportional to 471.81, 708.16 and 240.86 is: 361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.81 : 708.16 = 240.86 : x
  2. Step 2: Convert to fraction form
    471.81/708.16 = 240.86/x
  3. Step 3: Cross multiply
    471.81x = 708.16 × 240.86
  4. Step 4: Simplify right side
    471.81x = 170,564.44
  5. Step 5: Solve for x
    x = 170,564.44/471.81
  6. Step 6: Final answer
    x = 361.51

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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.