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Finding the Fourth Proportional to 597.79, 825.00 and 349.19

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Solution

The fourth proportional to 597.79, 825.00 and 349.19 is: 481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.79 : 825.00 = 349.19 : x
  2. Step 2: Convert to fraction form
    597.79/825.00 = 349.19/x
  3. Step 3: Cross multiply
    597.79x = 825.00 × 349.19
  4. Step 4: Simplify right side
    597.79x = 288,082.40
  5. Step 5: Solve for x
    x = 288,082.40/597.79
  6. Step 6: Final answer
    x = 481.91

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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.