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Finding the Fourth Proportional to 379.35, 523.40 and 224.10

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Solution

The fourth proportional to 379.35, 523.40 and 224.10 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.35 : 523.40 = 224.10 : x
  2. Step 2: Convert to fraction form
    379.35/523.40 = 224.10/x
  3. Step 3: Cross multiply
    379.35x = 523.40 × 224.10
  4. Step 4: Simplify right side
    379.35x = 117,292.82
  5. Step 5: Solve for x
    x = 117,292.82/379.35
  6. Step 6: Final answer
    x = 309.19

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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.