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Finding the Fourth Proportional to 379.72, 524.04 and 224.56

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Solution

The fourth proportional to 379.72, 524.04 and 224.56 is: 309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.72 : 524.04 = 224.56 : x
  2. Step 2: Convert to fraction form
    379.72/524.04 = 224.56/x
  3. Step 3: Cross multiply
    379.72x = 524.04 × 224.56
  4. Step 4: Simplify right side
    379.72x = 117,678.42
  5. Step 5: Solve for x
    x = 117,678.42/379.72
  6. Step 6: Final answer
    x = 309.91

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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.