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Finding the Fourth Proportional to 458.58, 632.96 and 262.16

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Solution

The fourth proportional to 458.58, 632.96 and 262.16 is: 361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.58 : 632.96 = 262.16 : x
  2. Step 2: Convert to fraction form
    458.58/632.96 = 262.16/x
  3. Step 3: Cross multiply
    458.58x = 632.96 × 262.16
  4. Step 4: Simplify right side
    458.58x = 165,936.79
  5. Step 5: Solve for x
    x = 165,936.79/458.58
  6. Step 6: Final answer
    x = 361.85

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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.