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Finding the Fourth Proportional to 597.97, 896.72 and 232.67

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Solution

The fourth proportional to 597.97, 896.72 and 232.67 is: 348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.97 : 896.72 = 232.67 : x
  2. Step 2: Convert to fraction form
    597.97/896.72 = 232.67/x
  3. Step 3: Cross multiply
    597.97x = 896.72 × 232.67
  4. Step 4: Simplify right side
    597.97x = 208,635.36
  5. Step 5: Solve for x
    x = 208,635.36/597.97
  6. Step 6: Final answer
    x = 348.91

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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.