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Finding the Fourth Proportional to 509.71, 703.38 and 299.78

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Solution

The fourth proportional to 509.71, 703.38 and 299.78 is: 413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.71 : 703.38 = 299.78 : x
  2. Step 2: Convert to fraction form
    509.71/703.38 = 299.78/x
  3. Step 3: Cross multiply
    509.71x = 703.38 × 299.78
  4. Step 4: Simplify right side
    509.71x = 210,859.26
  5. Step 5: Solve for x
    x = 210,859.26/509.71
  6. Step 6: Final answer
    x = 413.68

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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.