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Finding the Fourth Proportional to 495.74, 684.25 and 299.39

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Solution

The fourth proportional to 495.74, 684.25 and 299.39 is: 413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.74 : 684.25 = 299.39 : x
  2. Step 2: Convert to fraction form
    495.74/684.25 = 299.39/x
  3. Step 3: Cross multiply
    495.74x = 684.25 × 299.39
  4. Step 4: Simplify right side
    495.74x = 204,853.44
  5. Step 5: Solve for x
    x = 204,853.44/495.74
  6. Step 6: Final answer
    x = 413.23

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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.