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Finding the Fourth Proportional to 411.46, 567.79 and 224.93

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Solution

The fourth proportional to 411.46, 567.79 and 224.93 is: 310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.46 : 567.79 = 224.93 : x
  2. Step 2: Convert to fraction form
    411.46/567.79 = 224.93/x
  3. Step 3: Cross multiply
    411.46x = 567.79 × 224.93
  4. Step 4: Simplify right side
    411.46x = 127,713.86
  5. Step 5: Solve for x
    x = 127,713.86/411.46
  6. Step 6: Final answer
    x = 310.39

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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.