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Finding the Fourth Proportional to 597.63, 824.71 and 349.09

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Solution

The fourth proportional to 597.63, 824.71 and 349.09 is: 481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.63 : 824.71 = 349.09 : x
  2. Step 2: Convert to fraction form
    597.63/824.71 = 349.09/x
  3. Step 3: Cross multiply
    597.63x = 824.71 × 349.09
  4. Step 4: Simplify right side
    597.63x = 287,898.01
  5. Step 5: Solve for x
    x = 287,898.01/597.63
  6. Step 6: Final answer
    x = 481.73

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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.