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Finding the Fourth Proportional to 370.20, 490.20 and 370.20

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Solution

The fourth proportional to 370.20, 490.20 and 370.20 is: 490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.20 : 490.20 = 370.20 : x
  2. Step 2: Convert to fraction form
    370.20/490.20 = 370.20/x
  3. Step 3: Cross multiply
    370.20x = 490.20 × 370.20
  4. Step 4: Simplify right side
    370.20x = 181,472.04
  5. Step 5: Solve for x
    x = 181,472.04/370.20
  6. Step 6: Final answer
    x = 490.20

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.