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Finding the Fourth Proportional to 411.34, 567.63 and 224.82

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Solution

The fourth proportional to 411.34, 567.63 and 224.82 is: 310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.34 : 567.63 = 224.82 : x
  2. Step 2: Convert to fraction form
    411.34/567.63 = 224.82/x
  3. Step 3: Cross multiply
    411.34x = 567.63 × 224.82
  4. Step 4: Simplify right side
    411.34x = 127,615.14
  5. Step 5: Solve for x
    x = 127,615.14/411.34
  6. Step 6: Final answer
    x = 310.25

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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.