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Finding the Fourth Proportional to 411.67, 564.32 and 410.86

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Solution

The fourth proportional to 411.67, 564.32 and 410.86 is: 563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.67 : 564.32 = 410.86 : x
  2. Step 2: Convert to fraction form
    411.67/564.32 = 410.86/x
  3. Step 3: Cross multiply
    411.67x = 564.32 × 410.86
  4. Step 4: Simplify right side
    411.67x = 231,856.52
  5. Step 5: Solve for x
    x = 231,856.52/411.67
  6. Step 6: Final answer
    x = 563.21

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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.