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Finding the Fourth Proportional to 411.32, 567.37 and 285.22

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Solution

The fourth proportional to 411.32, 567.37 and 285.22 is: 393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.32 : 567.37 = 285.22 : x
  2. Step 2: Convert to fraction form
    411.32/567.37 = 285.22/x
  3. Step 3: Cross multiply
    411.32x = 567.37 × 285.22
  4. Step 4: Simplify right side
    411.32x = 161,825.13
  5. Step 5: Solve for x
    x = 161,825.13/411.32
  6. Step 6: Final answer
    x = 393.43

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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.