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Finding the Fourth Proportional to 474.46, 654.72 and 261.73

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Solution

The fourth proportional to 474.46, 654.72 and 261.73 is: 361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.46 : 654.72 = 261.73 : x
  2. Step 2: Convert to fraction form
    474.46/654.72 = 261.73/x
  3. Step 3: Cross multiply
    474.46x = 654.72 × 261.73
  4. Step 4: Simplify right side
    474.46x = 171,359.87
  5. Step 5: Solve for x
    x = 171,359.87/474.46
  6. Step 6: Final answer
    x = 361.17

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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.