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Finding the Fourth Proportional to 489.94, 734.82 and 270.46

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Solution

The fourth proportional to 489.94, 734.82 and 270.46 is: 405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.94 : 734.82 = 270.46 : x
  2. Step 2: Convert to fraction form
    489.94/734.82 = 270.46/x
  3. Step 3: Cross multiply
    489.94x = 734.82 × 270.46
  4. Step 4: Simplify right side
    489.94x = 198,739.42
  5. Step 5: Solve for x
    x = 198,739.42/489.94
  6. Step 6: Final answer
    x = 405.64

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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.