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Finding the Fourth Proportional to 404.62, 606.96 and 116.08

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Solution

The fourth proportional to 404.62, 606.96 and 116.08 is: 174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.62 : 606.96 = 116.08 : x
  2. Step 2: Convert to fraction form
    404.62/606.96 = 116.08/x
  3. Step 3: Cross multiply
    404.62x = 606.96 × 116.08
  4. Step 4: Simplify right side
    404.62x = 70,455.92
  5. Step 5: Solve for x
    x = 70,455.92/404.62
  6. Step 6: Final answer
    x = 174.13

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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.