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Finding the Fourth Proportional to 458.45, 632.65 and 261.94

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Solution

The fourth proportional to 458.45, 632.65 and 261.94 is: 361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.45 : 632.65 = 261.94 : x
  2. Step 2: Convert to fraction form
    458.45/632.65 = 261.94/x
  3. Step 3: Cross multiply
    458.45x = 632.65 × 261.94
  4. Step 4: Simplify right side
    458.45x = 165,716.34
  5. Step 5: Solve for x
    x = 165,716.34/458.45
  6. Step 6: Final answer
    x = 361.47

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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.