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Finding the Fourth Proportional to 404.10, 606.21 and 130.20

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Solution

The fourth proportional to 404.10, 606.21 and 130.20 is: 195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.10 : 606.21 = 130.20 : x
  2. Step 2: Convert to fraction form
    404.10/606.21 = 130.20/x
  3. Step 3: Cross multiply
    404.10x = 606.21 × 130.20
  4. Step 4: Simplify right side
    404.10x = 78,928.54
  5. Step 5: Solve for x
    x = 78,928.54/404.10
  6. Step 6: Final answer
    x = 195.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.