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Finding the Fourth Proportional to 404.25, 606.33 and 160.71

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Solution

The fourth proportional to 404.25, 606.33 and 160.71 is: 241.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.25 : 606.33 = 160.71 : x
  2. Step 2: Convert to fraction form
    404.25/606.33 = 160.71/x
  3. Step 3: Cross multiply
    404.25x = 606.33 × 160.71
  4. Step 4: Simplify right side
    404.25x = 97,443.29
  5. Step 5: Solve for x
    x = 97,443.29/404.25
  6. Step 6: Final answer
    x = 241.05

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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.