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Finding the Fourth Proportional to 471.85, 651.13 and 262.02

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Solution

The fourth proportional to 471.85, 651.13 and 262.02 is: 361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.85 : 651.13 = 262.02 : x
  2. Step 2: Convert to fraction form
    471.85/651.13 = 262.02/x
  3. Step 3: Cross multiply
    471.85x = 651.13 × 262.02
  4. Step 4: Simplify right side
    471.85x = 170,604.52
  5. Step 5: Solve for x
    x = 170,604.52/471.85
  6. Step 6: Final answer
    x = 361.57

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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.