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Finding the Fourth Proportional to 404.74, 607.44 and 161.44

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Solution

The fourth proportional to 404.74, 607.44 and 161.44 is: 242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.74 : 607.44 = 161.44 : x
  2. Step 2: Convert to fraction form
    404.74/607.44 = 161.44/x
  3. Step 3: Cross multiply
    404.74x = 607.44 × 161.44
  4. Step 4: Simplify right side
    404.74x = 98,062.08
  5. Step 5: Solve for x
    x = 98,062.08/404.74
  6. Step 6: Final answer
    x = 242.29

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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.