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Finding the Fourth Proportional to 379.11, 567.75 and 224.91

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Solution

The fourth proportional to 379.11, 567.75 and 224.91 is: 336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.11 : 567.75 = 224.91 : x
  2. Step 2: Convert to fraction form
    379.11/567.75 = 224.91/x
  3. Step 3: Cross multiply
    379.11x = 567.75 × 224.91
  4. Step 4: Simplify right side
    379.11x = 127,689.81
  5. Step 5: Solve for x
    x = 127,689.81/379.11
  6. Step 6: Final answer
    x = 336.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.