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Finding the Fourth Proportional to 499.45, 688.16 and 333.38

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Solution

The fourth proportional to 499.45, 688.16 and 333.38 is: 459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.45 : 688.16 = 333.38 : x
  2. Step 2: Convert to fraction form
    499.45/688.16 = 333.38/x
  3. Step 3: Cross multiply
    499.45x = 688.16 × 333.38
  4. Step 4: Simplify right side
    499.45x = 229,413.67
  5. Step 5: Solve for x
    x = 229,413.67/499.45
  6. Step 6: Final answer
    x = 459.33

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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.