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Finding the Fourth Proportional to 379.60, 523.84 and 224.40

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Solution

The fourth proportional to 379.60, 523.84 and 224.40 is: 309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.60 : 523.84 = 224.40 : x
  2. Step 2: Convert to fraction form
    379.60/523.84 = 224.40/x
  3. Step 3: Cross multiply
    379.60x = 523.84 × 224.40
  4. Step 4: Simplify right side
    379.60x = 117,549.70
  5. Step 5: Solve for x
    x = 117,549.70/379.60
  6. Step 6: Final answer
    x = 309.67

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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.