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Finding the Fourth Proportional to 864.55, 1,297.01 and 248.25

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Solution

The fourth proportional to 864.55, 1,297.01 and 248.25 is: 372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.55 : 1,297.01 = 248.25 : x
  2. Step 2: Convert to fraction form
    864.55/1,297.01 = 248.25/x
  3. Step 3: Cross multiply
    864.55x = 1,297.01 × 248.25
  4. Step 4: Simplify right side
    864.55x = 321,982.73
  5. Step 5: Solve for x
    x = 321,982.73/864.55
  6. Step 6: Final answer
    x = 372.43

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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.