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Finding the Fourth Proportional to 489.85, 733.56 and 335.34

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Solution

The fourth proportional to 489.85, 733.56 and 335.34 is: 502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.85 : 733.56 = 335.34 : x
  2. Step 2: Convert to fraction form
    489.85/733.56 = 335.34/x
  3. Step 3: Cross multiply
    489.85x = 733.56 × 335.34
  4. Step 4: Simplify right side
    489.85x = 245,990.75
  5. Step 5: Solve for x
    x = 245,990.75/489.85
  6. Step 6: Final answer
    x = 502.18

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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.