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Finding the Fourth Proportional to 597.91, 825 and 349.24

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Solution

The fourth proportional to 597.91, 825 and 349.24 is: 481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.91 : 825 = 349.24 : x
  2. Step 2: Convert to fraction form
    597.91/825 = 349.24/x
  3. Step 3: Cross multiply
    597.91x = 825 × 349.24
  4. Step 4: Simplify right side
    597.91x = 288,123
  5. Step 5: Solve for x
    x = 288,123/597.91
  6. Step 6: Final answer
    x = 481.88

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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.