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Finding the Fourth Proportional to 376.83, 519.21 and 357

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Solution

The fourth proportional to 376.83, 519.21 and 357 is: 491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.83 : 519.21 = 357 : x
  2. Step 2: Convert to fraction form
    376.83/519.21 = 357/x
  3. Step 3: Cross multiply
    376.83x = 519.21 × 357
  4. Step 4: Simplify right side
    376.83x = 185,357.97
  5. Step 5: Solve for x
    x = 185,357.97/376.83
  6. Step 6: Final answer
    x = 491.89

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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.