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Finding the Fourth Proportional to 509.68, 703.30 and 299.82

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Solution

The fourth proportional to 509.68, 703.30 and 299.82 is: 413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.68 : 703.30 = 299.82 : x
  2. Step 2: Convert to fraction form
    509.68/703.30 = 299.82/x
  3. Step 3: Cross multiply
    509.68x = 703.30 × 299.82
  4. Step 4: Simplify right side
    509.68x = 210,863.41
  5. Step 5: Solve for x
    x = 210,863.41/509.68
  6. Step 6: Final answer
    x = 413.72

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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.