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Finding the Fourth Proportional to 523.92, 723.09 and 299.93

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Solution

The fourth proportional to 523.92, 723.09 and 299.93 is: 413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.92 : 723.09 = 299.93 : x
  2. Step 2: Convert to fraction form
    523.92/723.09 = 299.93/x
  3. Step 3: Cross multiply
    523.92x = 723.09 × 299.93
  4. Step 4: Simplify right side
    523.92x = 216,876.38
  5. Step 5: Solve for x
    x = 216,876.38/523.92
  6. Step 6: Final answer
    x = 413.95

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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.