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Finding the Fourth Proportional to 411.77, 567 and 372.71

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Solution

The fourth proportional to 411.77, 567 and 372.71 is: 513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.77 : 567 = 372.71 : x
  2. Step 2: Convert to fraction form
    411.77/567 = 372.71/x
  3. Step 3: Cross multiply
    411.77x = 567 × 372.71
  4. Step 4: Simplify right side
    411.77x = 211,327.99
  5. Step 5: Solve for x
    x = 211,327.99/411.77
  6. Step 6: Final answer
    x = 513.22

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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.