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Finding the Fourth Proportional to 458.75, 633.12 and 262.27

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Solution

The fourth proportional to 458.75, 633.12 and 262.27 is: 361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.75 : 633.12 = 262.27 : x
  2. Step 2: Convert to fraction form
    458.75/633.12 = 262.27/x
  3. Step 3: Cross multiply
    458.75x = 633.12 × 262.27
  4. Step 4: Simplify right side
    458.75x = 166,048.38
  5. Step 5: Solve for x
    x = 166,048.38/458.75
  6. Step 6: Final answer
    x = 361.96

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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.