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Finding the Fourth Proportional to 397.13, 596.13 and 232.80

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Solution

The fourth proportional to 397.13, 596.13 and 232.80 is: 349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.13 : 596.13 = 232.80 : x
  2. Step 2: Convert to fraction form
    397.13/596.13 = 232.80/x
  3. Step 3: Cross multiply
    397.13x = 596.13 × 232.80
  4. Step 4: Simplify right side
    397.13x = 138,779.60
  5. Step 5: Solve for x
    x = 138,779.60/397.13
  6. Step 6: Final answer
    x = 349.46

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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.