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Finding the Fourth Proportional to 490.10, 734.34 and 345.52

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Solution

The fourth proportional to 490.10, 734.34 and 345.52 is: 517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.10 : 734.34 = 345.52 : x
  2. Step 2: Convert to fraction form
    490.10/734.34 = 345.52/x
  3. Step 3: Cross multiply
    490.10x = 734.34 × 345.52
  4. Step 4: Simplify right side
    490.10x = 253,729.16
  5. Step 5: Solve for x
    x = 253,729.16/490.10
  6. Step 6: Final answer
    x = 517.71

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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.