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Finding the Fourth Proportional to 490.48, 734.34 and 392.48

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Solution

The fourth proportional to 490.48, 734.34 and 392.48 is: 587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.48 : 734.34 = 392.48 : x
  2. Step 2: Convert to fraction form
    490.48/734.34 = 392.48/x
  3. Step 3: Cross multiply
    490.48x = 734.34 × 392.48
  4. Step 4: Simplify right side
    490.48x = 288,213.76
  5. Step 5: Solve for x
    x = 288,213.76/490.48
  6. Step 6: Final answer
    x = 587.62

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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.