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Finding the Fourth Proportional to 489.27, 675.20 and 268.22

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Solution

The fourth proportional to 489.27, 675.20 and 268.22 is: 370.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.27 : 675.20 = 268.22 : x
  2. Step 2: Convert to fraction form
    489.27/675.20 = 268.22/x
  3. Step 3: Cross multiply
    489.27x = 675.20 × 268.22
  4. Step 4: Simplify right side
    489.27x = 181,102.14
  5. Step 5: Solve for x
    x = 181,102.14/489.27
  6. Step 6: Final answer
    x = 370.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.