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Finding the Fourth Proportional to 499.06, 688.76 and 299.94

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Solution

The fourth proportional to 499.06, 688.76 and 299.94 is: 413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.06 : 688.76 = 299.94 : x
  2. Step 2: Convert to fraction form
    499.06/688.76 = 299.94/x
  3. Step 3: Cross multiply
    499.06x = 688.76 × 299.94
  4. Step 4: Simplify right side
    499.06x = 206,586.67
  5. Step 5: Solve for x
    x = 206,586.67/499.06
  6. Step 6: Final answer
    x = 413.95

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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.