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Finding the Fourth Proportional to 509.87, 703.54 and 299.96

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Solution

The fourth proportional to 509.87, 703.54 and 299.96 is: 413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.87 : 703.54 = 299.96 : x
  2. Step 2: Convert to fraction form
    509.87/703.54 = 299.96/x
  3. Step 3: Cross multiply
    509.87x = 703.54 × 299.96
  4. Step 4: Simplify right side
    509.87x = 211,033.86
  5. Step 5: Solve for x
    x = 211,033.86/509.87
  6. Step 6: Final answer
    x = 413.90

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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.