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Finding the Fourth Proportional to 376.38, 519.81 and 258.66

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Solution

The fourth proportional to 376.38, 519.81 and 258.66 is: 357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.38 : 519.81 = 258.66 : x
  2. Step 2: Convert to fraction form
    376.38/519.81 = 258.66/x
  3. Step 3: Cross multiply
    376.38x = 519.81 × 258.66
  4. Step 4: Simplify right side
    376.38x = 134,452.76
  5. Step 5: Solve for x
    x = 134,452.76/376.38
  6. Step 6: Final answer
    x = 357.23

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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.