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Finding the Fourth Proportional to 472, 651.37 and 262.17

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Solution

The fourth proportional to 472, 651.37 and 262.17 is: 361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472 : 651.37 = 262.17 : x
  2. Step 2: Convert to fraction form
    472/651.37 = 262.17/x
  3. Step 3: Cross multiply
    472x = 651.37 × 262.17
  4. Step 4: Simplify right side
    472x = 170,769.67
  5. Step 5: Solve for x
    x = 170,769.67/472
  6. Step 6: Final answer
    x = 361.80

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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.