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Finding the Fourth Proportional to 471.94, 651.26 and 262.14

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Solution

The fourth proportional to 471.94, 651.26 and 262.14 is: 361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.94 : 651.26 = 262.14 : x
  2. Step 2: Convert to fraction form
    471.94/651.26 = 262.14/x
  3. Step 3: Cross multiply
    471.94x = 651.26 × 262.14
  4. Step 4: Simplify right side
    471.94x = 170,721.30
  5. Step 5: Solve for x
    x = 170,721.30/471.94
  6. Step 6: Final answer
    x = 361.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.