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Finding the Fourth Proportional to 489.76, 675.81 and 268.71

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Solution

The fourth proportional to 489.76, 675.81 and 268.71 is: 370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.76 : 675.81 = 268.71 : x
  2. Step 2: Convert to fraction form
    489.76/675.81 = 268.71/x
  3. Step 3: Cross multiply
    489.76x = 675.81 × 268.71
  4. Step 4: Simplify right side
    489.76x = 181,596.91
  5. Step 5: Solve for x
    x = 181,596.91/489.76
  6. Step 6: Final answer
    x = 370.79

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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.