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Finding the Fourth Proportional to 597.93, 897.12 and 232.97

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Solution

The fourth proportional to 597.93, 897.12 and 232.97 is: 349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.93 : 897.12 = 232.97 : x
  2. Step 2: Convert to fraction form
    597.93/897.12 = 232.97/x
  3. Step 3: Cross multiply
    597.93x = 897.12 × 232.97
  4. Step 4: Simplify right side
    597.93x = 209,000.88
  5. Step 5: Solve for x
    x = 209,000.88/597.93
  6. Step 6: Final answer
    x = 349.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.