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Finding the Fourth Proportional to 472.04, 651.43 and 262.21

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Solution

The fourth proportional to 472.04, 651.43 and 262.21 is: 361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.04 : 651.43 = 262.21 : x
  2. Step 2: Convert to fraction form
    472.04/651.43 = 262.21/x
  3. Step 3: Cross multiply
    472.04x = 651.43 × 262.21
  4. Step 4: Simplify right side
    472.04x = 170,813.40
  5. Step 5: Solve for x
    x = 170,813.40/472.04
  6. Step 6: Final answer
    x = 361.87

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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.