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Finding the Fourth Proportional to 458.62, 632.82 and 262.09

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Solution

The fourth proportional to 458.62, 632.82 and 262.09 is: 361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.62 : 632.82 = 262.09 : x
  2. Step 2: Convert to fraction form
    458.62/632.82 = 262.09/x
  3. Step 3: Cross multiply
    458.62x = 632.82 × 262.09
  4. Step 4: Simplify right side
    458.62x = 165,852.63
  5. Step 5: Solve for x
    x = 165,852.63/458.62
  6. Step 6: Final answer
    x = 361.64

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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.