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Finding the Fourth Proportional to 600.42, 828.54 and 334.88

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Solution

The fourth proportional to 600.42, 828.54 and 334.88 is: 462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.42 : 828.54 = 334.88 : x
  2. Step 2: Convert to fraction form
    600.42/828.54 = 334.88/x
  3. Step 3: Cross multiply
    600.42x = 828.54 × 334.88
  4. Step 4: Simplify right side
    600.42x = 277,461.48
  5. Step 5: Solve for x
    x = 277,461.48/600.42
  6. Step 6: Final answer
    x = 462.11

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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.