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Finding the Fourth Proportional to 471.94, 651.29 and 262.11

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Solution

The fourth proportional to 471.94, 651.29 and 262.11 is: 361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.94 : 651.29 = 262.11 : x
  2. Step 2: Convert to fraction form
    471.94/651.29 = 262.11/x
  3. Step 3: Cross multiply
    471.94x = 651.29 × 262.11
  4. Step 4: Simplify right side
    471.94x = 170,709.62
  5. Step 5: Solve for x
    x = 170,709.62/471.94
  6. Step 6: Final answer
    x = 361.72

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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.