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Finding the Fourth Proportional to 490.60, 735.08 and 346.08

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Solution

The fourth proportional to 490.60, 735.08 and 346.08 is: 518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.60 : 735.08 = 346.08 : x
  2. Step 2: Convert to fraction form
    490.60/735.08 = 346.08/x
  3. Step 3: Cross multiply
    490.60x = 735.08 × 346.08
  4. Step 4: Simplify right side
    490.60x = 254,396.49
  5. Step 5: Solve for x
    x = 254,396.49/490.60
  6. Step 6: Final answer
    x = 518.54

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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.