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Finding the Fourth Proportional to 411.34, 567.64 and 224.85

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Solution

The fourth proportional to 411.34, 567.64 and 224.85 is: 310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.34 : 567.64 = 224.85 : x
  2. Step 2: Convert to fraction form
    411.34/567.64 = 224.85/x
  3. Step 3: Cross multiply
    411.34x = 567.64 × 224.85
  4. Step 4: Simplify right side
    411.34x = 127,633.85
  5. Step 5: Solve for x
    x = 127,633.85/411.34
  6. Step 6: Final answer
    x = 310.29

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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.