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Finding the Fourth Proportional to 587.75, 881.73 and 241.28

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Solution

The fourth proportional to 587.75, 881.73 and 241.28 is: 361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.75 : 881.73 = 241.28 : x
  2. Step 2: Convert to fraction form
    587.75/881.73 = 241.28/x
  3. Step 3: Cross multiply
    587.75x = 881.73 × 241.28
  4. Step 4: Simplify right side
    587.75x = 212,739.41
  5. Step 5: Solve for x
    x = 212,739.41/587.75
  6. Step 6: Final answer
    x = 361.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.