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Finding the Fourth Proportional to 509.68, 703.38 and 299.86

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Solution

The fourth proportional to 509.68, 703.38 and 299.86 is: 413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.68 : 703.38 = 299.86 : x
  2. Step 2: Convert to fraction form
    509.68/703.38 = 299.86/x
  3. Step 3: Cross multiply
    509.68x = 703.38 × 299.86
  4. Step 4: Simplify right side
    509.68x = 210,915.53
  5. Step 5: Solve for x
    x = 210,915.53/509.68
  6. Step 6: Final answer
    x = 413.82

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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.