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Finding the Fourth Proportional to 411.42, 567.74 and 224.87

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Solution

The fourth proportional to 411.42, 567.74 and 224.87 is: 310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.42 : 567.74 = 224.87 : x
  2. Step 2: Convert to fraction form
    411.42/567.74 = 224.87/x
  3. Step 3: Cross multiply
    411.42x = 567.74 × 224.87
  4. Step 4: Simplify right side
    411.42x = 127,667.99
  5. Step 5: Solve for x
    x = 127,667.99/411.42
  6. Step 6: Final answer
    x = 310.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.