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Finding the Fourth Proportional to 440.06, 606.96 and 299.93

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Solution

The fourth proportional to 440.06, 606.96 and 299.93 is: 413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.06 : 606.96 = 299.93 : x
  2. Step 2: Convert to fraction form
    440.06/606.96 = 299.93/x
  3. Step 3: Cross multiply
    440.06x = 606.96 × 299.93
  4. Step 4: Simplify right side
    440.06x = 182,042.48
  5. Step 5: Solve for x
    x = 182,042.48/440.06
  6. Step 6: Final answer
    x = 413.68

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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.