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Finding the Fourth Proportional to 404.69, 606.97 and 116.06

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Solution

The fourth proportional to 404.69, 606.97 and 116.06 is: 174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.69 : 606.97 = 116.06 : x
  2. Step 2: Convert to fraction form
    404.69/606.97 = 116.06/x
  3. Step 3: Cross multiply
    404.69x = 606.97 × 116.06
  4. Step 4: Simplify right side
    404.69x = 70,444.94
  5. Step 5: Solve for x
    x = 70,444.94/404.69
  6. Step 6: Final answer
    x = 174.07

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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.