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Finding the Fourth Proportional to 411.06, 567.20 and 245.27

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Solution

The fourth proportional to 411.06, 567.20 and 245.27 is: 338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.06 : 567.20 = 245.27 : x
  2. Step 2: Convert to fraction form
    411.06/567.20 = 245.27/x
  3. Step 3: Cross multiply
    411.06x = 567.20 × 245.27
  4. Step 4: Simplify right side
    411.06x = 139,114.15
  5. Step 5: Solve for x
    x = 139,114.15/411.06
  6. Step 6: Final answer
    x = 338.43

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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.