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Finding the Fourth Proportional to 490.46, 734.50 and 259.55

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Solution

The fourth proportional to 490.46, 734.50 and 259.55 is: 388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.46 : 734.50 = 259.55 : x
  2. Step 2: Convert to fraction form
    490.46/734.50 = 259.55/x
  3. Step 3: Cross multiply
    490.46x = 734.50 × 259.55
  4. Step 4: Simplify right side
    490.46x = 190,639.48
  5. Step 5: Solve for x
    x = 190,639.48/490.46
  6. Step 6: Final answer
    x = 388.70

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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.