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Finding the Fourth Proportional to 397.92, 596.30 and 233

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Solution

The fourth proportional to 397.92, 596.30 and 233 is: 349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.92 : 596.30 = 233 : x
  2. Step 2: Convert to fraction form
    397.92/596.30 = 233/x
  3. Step 3: Cross multiply
    397.92x = 596.30 × 233
  4. Step 4: Simplify right side
    397.92x = 138,937.90
  5. Step 5: Solve for x
    x = 138,937.90/397.92
  6. Step 6: Final answer
    x = 349.16

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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.