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Finding the Fourth Proportional to 411.67, 566.01 and 367

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Solution

The fourth proportional to 411.67, 566.01 and 367 is: 504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.67 : 566.01 = 367 : x
  2. Step 2: Convert to fraction form
    411.67/566.01 = 367/x
  3. Step 3: Cross multiply
    411.67x = 566.01 × 367
  4. Step 4: Simplify right side
    411.67x = 207,725.67
  5. Step 5: Solve for x
    x = 207,725.67/411.67
  6. Step 6: Final answer
    x = 504.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.