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Finding the Fourth Proportional to 404.04, 606.09 and 144.06

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Solution

The fourth proportional to 404.04, 606.09 and 144.06 is: 216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.04 : 606.09 = 144.06 : x
  2. Step 2: Convert to fraction form
    404.04/606.09 = 144.06/x
  3. Step 3: Cross multiply
    404.04x = 606.09 × 144.06
  4. Step 4: Simplify right side
    404.04x = 87,313.33
  5. Step 5: Solve for x
    x = 87,313.33/404.04
  6. Step 6: Final answer
    x = 216.10

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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.