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Finding the Fourth Proportional to 865.23, 1,297.68 and 232.01

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Solution

The fourth proportional to 865.23, 1,297.68 and 232.01 is: 347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.23 : 1,297.68 = 232.01 : x
  2. Step 2: Convert to fraction form
    865.23/1,297.68 = 232.01/x
  3. Step 3: Cross multiply
    865.23x = 1,297.68 × 232.01
  4. Step 4: Simplify right side
    865.23x = 301,077.04
  5. Step 5: Solve for x
    x = 301,077.04/865.23
  6. Step 6: Final answer
    x = 347.97

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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.