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Finding the Fourth Proportional to 458.69, 633.02 and 262.24

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Solution

The fourth proportional to 458.69, 633.02 and 262.24 is: 361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.69 : 633.02 = 262.24 : x
  2. Step 2: Convert to fraction form
    458.69/633.02 = 262.24/x
  3. Step 3: Cross multiply
    458.69x = 633.02 × 262.24
  4. Step 4: Simplify right side
    458.69x = 166,003.16
  5. Step 5: Solve for x
    x = 166,003.16/458.69
  6. Step 6: Final answer
    x = 361.91

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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.