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Finding the Fourth Proportional to 495.83, 684.32 and 299.34

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Solution

The fourth proportional to 495.83, 684.32 and 299.34 is: 413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.83 : 684.32 = 299.34 : x
  2. Step 2: Convert to fraction form
    495.83/684.32 = 299.34/x
  3. Step 3: Cross multiply
    495.83x = 684.32 × 299.34
  4. Step 4: Simplify right side
    495.83x = 204,842.85
  5. Step 5: Solve for x
    x = 204,842.85/495.83
  6. Step 6: Final answer
    x = 413.14

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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.