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Finding the Fourth Proportional to 597.92, 824.98 and 349.09

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Solution

The fourth proportional to 597.92, 824.98 and 349.09 is: 481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.92 : 824.98 = 349.09 : x
  2. Step 2: Convert to fraction form
    597.92/824.98 = 349.09/x
  3. Step 3: Cross multiply
    597.92x = 824.98 × 349.09
  4. Step 4: Simplify right side
    597.92x = 287,990.52
  5. Step 5: Solve for x
    x = 287,990.52/597.92
  6. Step 6: Final answer
    x = 481.66

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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.