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Finding the Fourth Proportional to 496.02, 684.42 and 299.40

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Solution

The fourth proportional to 496.02, 684.42 and 299.40 is: 413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.02 : 684.42 = 299.40 : x
  2. Step 2: Convert to fraction form
    496.02/684.42 = 299.40/x
  3. Step 3: Cross multiply
    496.02x = 684.42 × 299.40
  4. Step 4: Simplify right side
    496.02x = 204,915.35
  5. Step 5: Solve for x
    x = 204,915.35/496.02
  6. Step 6: Final answer
    x = 413.12

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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.