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Finding the Fourth Proportional to 379.44, 519.71 and 357.30

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Solution

The fourth proportional to 379.44, 519.71 and 357.30 is: 489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.44 : 519.71 = 357.30 : x
  2. Step 2: Convert to fraction form
    379.44/519.71 = 357.30/x
  3. Step 3: Cross multiply
    379.44x = 519.71 × 357.30
  4. Step 4: Simplify right side
    379.44x = 185,690.60
  5. Step 5: Solve for x
    x = 185,690.60/379.44
  6. Step 6: Final answer
    x = 489.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.