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Finding the Fourth Proportional to 489.34, 675.29 and 268.27

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Solution

The fourth proportional to 489.34, 675.29 and 268.27 is: 370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.34 : 675.29 = 268.27 : x
  2. Step 2: Convert to fraction form
    489.34/675.29 = 268.27/x
  3. Step 3: Cross multiply
    489.34x = 675.29 × 268.27
  4. Step 4: Simplify right side
    489.34x = 181,160.05
  5. Step 5: Solve for x
    x = 181,160.05/489.34
  6. Step 6: Final answer
    x = 370.22

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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.