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Finding the Fourth Proportional to 379.12, 523.20 and 357.52

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Solution

The fourth proportional to 379.12, 523.20 and 357.52 is: 493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.12 : 523.20 = 357.52 : x
  2. Step 2: Convert to fraction form
    379.12/523.20 = 357.52/x
  3. Step 3: Cross multiply
    379.12x = 523.20 × 357.52
  4. Step 4: Simplify right side
    379.12x = 187,054.46
  5. Step 5: Solve for x
    x = 187,054.46/379.12
  6. Step 6: Final answer
    x = 493.39

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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.