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Finding the Fourth Proportional to 411, 567.18 and 224.50

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Solution

The fourth proportional to 411, 567.18 and 224.50 is: 309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 567.18 = 224.50 : x
  2. Step 2: Convert to fraction form
    411/567.18 = 224.50/x
  3. Step 3: Cross multiply
    411x = 567.18 × 224.50
  4. Step 4: Simplify right side
    411x = 127,331.91
  5. Step 5: Solve for x
    x = 127,331.91/411
  6. Step 6: Final answer
    x = 309.81

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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.