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Finding the Fourth Proportional to 865.30, 1,297.14 and 345.73

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Solution

The fourth proportional to 865.30, 1,297.14 and 345.73 is: 518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.30 : 1,297.14 = 345.73 : x
  2. Step 2: Convert to fraction form
    865.30/1,297.14 = 345.73/x
  3. Step 3: Cross multiply
    865.30x = 1,297.14 × 345.73
  4. Step 4: Simplify right side
    865.30x = 448,460.21
  5. Step 5: Solve for x
    x = 448,460.21/865.30
  6. Step 6: Final answer
    x = 518.27

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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.