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Finding the Fourth Proportional to 411.16, 567.37 and 224.63

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Solution

The fourth proportional to 411.16, 567.37 and 224.63 is: 309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.16 : 567.37 = 224.63 : x
  2. Step 2: Convert to fraction form
    411.16/567.37 = 224.63/x
  3. Step 3: Cross multiply
    411.16x = 567.37 × 224.63
  4. Step 4: Simplify right side
    411.16x = 127,448.32
  5. Step 5: Solve for x
    x = 127,448.32/411.16
  6. Step 6: Final answer
    x = 309.97

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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.