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Finding the Fourth Proportional to 600.30, 828.38 and 334.71

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Solution

The fourth proportional to 600.30, 828.38 and 334.71 is: 461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.30 : 828.38 = 334.71 : x
  2. Step 2: Convert to fraction form
    600.30/828.38 = 334.71/x
  3. Step 3: Cross multiply
    600.30x = 828.38 × 334.71
  4. Step 4: Simplify right side
    600.30x = 277,267.91
  5. Step 5: Solve for x
    x = 277,267.91/600.30
  6. Step 6: Final answer
    x = 461.88

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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.