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Finding the Fourth Proportional to 411.48, 567.89 and 262.22

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Solution

The fourth proportional to 411.48, 567.89 and 262.22 is: 361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.48 : 567.89 = 262.22 : x
  2. Step 2: Convert to fraction form
    411.48/567.89 = 262.22/x
  3. Step 3: Cross multiply
    411.48x = 567.89 × 262.22
  4. Step 4: Simplify right side
    411.48x = 148,913.62
  5. Step 5: Solve for x
    x = 148,913.62/411.48
  6. Step 6: Final answer
    x = 361.90

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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.