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Finding the Fourth Proportional to 411.48, 567.86 and 224.98

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Solution

The fourth proportional to 411.48, 567.86 and 224.98 is: 310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.48 : 567.86 = 224.98 : x
  2. Step 2: Convert to fraction form
    411.48/567.86 = 224.98/x
  3. Step 3: Cross multiply
    411.48x = 567.86 × 224.98
  4. Step 4: Simplify right side
    411.48x = 127,755.86
  5. Step 5: Solve for x
    x = 127,755.86/411.48
  6. Step 6: Final answer
    x = 310.48

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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.