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Finding the Fourth Proportional to 600.84, 829.23 and 338.91

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Solution

The fourth proportional to 600.84, 829.23 and 338.91 is: 467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.84 : 829.23 = 338.91 : x
  2. Step 2: Convert to fraction form
    600.84/829.23 = 338.91/x
  3. Step 3: Cross multiply
    600.84x = 829.23 × 338.91
  4. Step 4: Simplify right side
    600.84x = 281,034.34
  5. Step 5: Solve for x
    x = 281,034.34/600.84
  6. Step 6: Final answer
    x = 467.74

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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.