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Finding the Fourth Proportional to 523.92, 723.08 and 299.94

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Solution

The fourth proportional to 523.92, 723.08 and 299.94 is: 413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.92 : 723.08 = 299.94 : x
  2. Step 2: Convert to fraction form
    523.92/723.08 = 299.94/x
  3. Step 3: Cross multiply
    523.92x = 723.08 × 299.94
  4. Step 4: Simplify right side
    523.92x = 216,880.62
  5. Step 5: Solve for x
    x = 216,880.62/523.92
  6. Step 6: Final answer
    x = 413.96

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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.