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Finding the Fourth Proportional to 411.34, 567.66 and 224.84

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Solution

The fourth proportional to 411.34, 567.66 and 224.84 is: 310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.34 : 567.66 = 224.84 : x
  2. Step 2: Convert to fraction form
    411.34/567.66 = 224.84/x
  3. Step 3: Cross multiply
    411.34x = 567.66 × 224.84
  4. Step 4: Simplify right side
    411.34x = 127,632.67
  5. Step 5: Solve for x
    x = 127,632.67/411.34
  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.