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Finding the Fourth Proportional to 376.99, 519.64 and 229.35

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Solution

The fourth proportional to 376.99, 519.64 and 229.35 is: 316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.99 : 519.64 = 229.35 : x
  2. Step 2: Convert to fraction form
    376.99/519.64 = 229.35/x
  3. Step 3: Cross multiply
    376.99x = 519.64 × 229.35
  4. Step 4: Simplify right side
    376.99x = 119,179.43
  5. Step 5: Solve for x
    x = 119,179.43/376.99
  6. Step 6: Final answer
    x = 316.13

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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.