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Finding the Fourth Proportional to 404.61, 606.62 and 209.52

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Solution

The fourth proportional to 404.61, 606.62 and 209.52 is: 314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.61 : 606.62 = 209.52 : x
  2. Step 2: Convert to fraction form
    404.61/606.62 = 209.52/x
  3. Step 3: Cross multiply
    404.61x = 606.62 × 209.52
  4. Step 4: Simplify right side
    404.61x = 127,097.97
  5. Step 5: Solve for x
    x = 127,097.97/404.61
  6. Step 6: Final answer
    x = 314.12

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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.