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Finding the Fourth Proportional to 597.69, 825.09 and 348.97

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Solution

The fourth proportional to 597.69, 825.09 and 348.97 is: 481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.69 : 825.09 = 348.97 : x
  2. Step 2: Convert to fraction form
    597.69/825.09 = 348.97/x
  3. Step 3: Cross multiply
    597.69x = 825.09 × 348.97
  4. Step 4: Simplify right side
    597.69x = 287,925.79
  5. Step 5: Solve for x
    x = 287,925.79/597.69
  6. Step 6: Final answer
    x = 481.74

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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.