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Finding the Fourth Proportional to 439.65, 606.47 and 299.79

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Solution

The fourth proportional to 439.65, 606.47 and 299.79 is: 413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.65 : 606.47 = 299.79 : x
  2. Step 2: Convert to fraction form
    439.65/606.47 = 299.79/x
  3. Step 3: Cross multiply
    439.65x = 606.47 × 299.79
  4. Step 4: Simplify right side
    439.65x = 181,812.14
  5. Step 5: Solve for x
    x = 181,812.14/439.65
  6. Step 6: Final answer
    x = 413.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.