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Finding the Fourth Proportional to 495.74, 684.21 and 299.36

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Solution

The fourth proportional to 495.74, 684.21 and 299.36 is: 413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.74 : 684.21 = 299.36 : x
  2. Step 2: Convert to fraction form
    495.74/684.21 = 299.36/x
  3. Step 3: Cross multiply
    495.74x = 684.21 × 299.36
  4. Step 4: Simplify right side
    495.74x = 204,821.68
  5. Step 5: Solve for x
    x = 204,821.68/495.74
  6. Step 6: Final answer
    x = 413.17

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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.