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Finding the Fourth Proportional to 376.36, 519.46 and 229

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Solution

The fourth proportional to 376.36, 519.46 and 229 is: 316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.36 : 519.46 = 229 : x
  2. Step 2: Convert to fraction form
    376.36/519.46 = 229/x
  3. Step 3: Cross multiply
    376.36x = 519.46 × 229
  4. Step 4: Simplify right side
    376.36x = 118,956.34
  5. Step 5: Solve for x
    x = 118,956.34/376.36
  6. Step 6: Final answer
    x = 316.07

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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.