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Finding the Fourth Proportional to 597.93, 825.13 and 349.26

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Solution

The fourth proportional to 597.93, 825.13 and 349.26 is: 481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.93 : 825.13 = 349.26 : x
  2. Step 2: Convert to fraction form
    597.93/825.13 = 349.26/x
  3. Step 3: Cross multiply
    597.93x = 825.13 × 349.26
  4. Step 4: Simplify right side
    597.93x = 288,184.90
  5. Step 5: Solve for x
    x = 288,184.90/597.93
  6. Step 6: Final answer
    x = 481.97

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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.