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Finding the Fourth Proportional to 458.53, 632.62 and 261.90

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Solution

The fourth proportional to 458.53, 632.62 and 261.90 is: 361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.53 : 632.62 = 261.90 : x
  2. Step 2: Convert to fraction form
    458.53/632.62 = 261.90/x
  3. Step 3: Cross multiply
    458.53x = 632.62 × 261.90
  4. Step 4: Simplify right side
    458.53x = 165,683.18
  5. Step 5: Solve for x
    x = 165,683.18/458.53
  6. Step 6: Final answer
    x = 361.34

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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.