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Finding the Fourth Proportional to 490.55, 735.19 and 374.57

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Solution

The fourth proportional to 490.55, 735.19 and 374.57 is: 561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.55 : 735.19 = 374.57 : x
  2. Step 2: Convert to fraction form
    490.55/735.19 = 374.57/x
  3. Step 3: Cross multiply
    490.55x = 735.19 × 374.57
  4. Step 4: Simplify right side
    490.55x = 275,374.57
  5. Step 5: Solve for x
    x = 275,374.57/490.55
  6. Step 6: Final answer
    x = 561.36

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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.