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Finding the Fourth Proportional to 386.33, 533.23 and 262.20

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Solution

The fourth proportional to 386.33, 533.23 and 262.20 is: 361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.33 : 533.23 = 262.20 : x
  2. Step 2: Convert to fraction form
    386.33/533.23 = 262.20/x
  3. Step 3: Cross multiply
    386.33x = 533.23 × 262.20
  4. Step 4: Simplify right side
    386.33x = 139,812.91
  5. Step 5: Solve for x
    x = 139,812.91/386.33
  6. Step 6: Final answer
    x = 361.90

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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.