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Finding the Fourth Proportional to 498.93, 688.62 and 299.81

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Solution

The fourth proportional to 498.93, 688.62 and 299.81 is: 413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.93 : 688.62 = 299.81 : x
  2. Step 2: Convert to fraction form
    498.93/688.62 = 299.81/x
  3. Step 3: Cross multiply
    498.93x = 688.62 × 299.81
  4. Step 4: Simplify right side
    498.93x = 206,451.72
  5. Step 5: Solve for x
    x = 206,451.72/498.93
  6. Step 6: Final answer
    x = 413.79

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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.