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Finding the Fourth Proportional to 509.86, 703.38 and 299.98

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Solution

The fourth proportional to 509.86, 703.38 and 299.98 is: 413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.86 : 703.38 = 299.98 : x
  2. Step 2: Convert to fraction form
    509.86/703.38 = 299.98/x
  3. Step 3: Cross multiply
    509.86x = 703.38 × 299.98
  4. Step 4: Simplify right side
    509.86x = 210,999.93
  5. Step 5: Solve for x
    x = 210,999.93/509.86
  6. Step 6: Final answer
    x = 413.84

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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.