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Finding the Fourth Proportional to 575.38, 794.39 and 379.23

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Solution

The fourth proportional to 575.38, 794.39 and 379.23 is: 523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.38 : 794.39 = 379.23 : x
  2. Step 2: Convert to fraction form
    575.38/794.39 = 379.23/x
  3. Step 3: Cross multiply
    575.38x = 794.39 × 379.23
  4. Step 4: Simplify right side
    575.38x = 301,256.52
  5. Step 5: Solve for x
    x = 301,256.52/575.38
  6. Step 6: Final answer
    x = 523.58

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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.