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Finding the Fourth Proportional to 411.35, 567.36 and 371.75

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Solution

The fourth proportional to 411.35, 567.36 and 371.75 is: 512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.35 : 567.36 = 371.75 : x
  2. Step 2: Convert to fraction form
    411.35/567.36 = 371.75/x
  3. Step 3: Cross multiply
    411.35x = 567.36 × 371.75
  4. Step 4: Simplify right side
    411.35x = 210,913.24
  5. Step 5: Solve for x
    x = 210,913.24/411.35
  6. Step 6: Final answer
    x = 512.74

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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.