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Finding the Fourth Proportional to 458.41, 632.58 and 261.94

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Solution

The fourth proportional to 458.41, 632.58 and 261.94 is: 361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.41 : 632.58 = 261.94 : x
  2. Step 2: Convert to fraction form
    458.41/632.58 = 261.94/x
  3. Step 3: Cross multiply
    458.41x = 632.58 × 261.94
  4. Step 4: Simplify right side
    458.41x = 165,698.01
  5. Step 5: Solve for x
    x = 165,698.01/458.41
  6. Step 6: Final answer
    x = 361.46

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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.