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Finding the Fourth Proportional to 458.45, 632.78 and 262.02

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Solution

The fourth proportional to 458.45, 632.78 and 262.02 is: 361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.45 : 632.78 = 262.02 : x
  2. Step 2: Convert to fraction form
    458.45/632.78 = 262.02/x
  3. Step 3: Cross multiply
    458.45x = 632.78 × 262.02
  4. Step 4: Simplify right side
    458.45x = 165,801.02
  5. Step 5: Solve for x
    x = 165,801.02/458.45
  6. Step 6: Final answer
    x = 361.66

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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.