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Finding the Fourth Proportional to 379.04, 523 and 223.84

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Solution

The fourth proportional to 379.04, 523 and 223.84 is: 308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.04 : 523 = 223.84 : x
  2. Step 2: Convert to fraction form
    379.04/523 = 223.84/x
  3. Step 3: Cross multiply
    379.04x = 523 × 223.84
  4. Step 4: Simplify right side
    379.04x = 117,068.32
  5. Step 5: Solve for x
    x = 117,068.32/379.04
  6. Step 6: Final answer
    x = 308.85

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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.