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Finding the Fourth Proportional to 509.62, 703.19 and 299.84

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Solution

The fourth proportional to 509.62, 703.19 and 299.84 is: 413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.62 : 703.19 = 299.84 : x
  2. Step 2: Convert to fraction form
    509.62/703.19 = 299.84/x
  3. Step 3: Cross multiply
    509.62x = 703.19 × 299.84
  4. Step 4: Simplify right side
    509.62x = 210,843.74
  5. Step 5: Solve for x
    x = 210,843.74/509.62
  6. Step 6: Final answer
    x = 413.73

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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.