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Finding the Fourth Proportional to 383.12, 528.28 and 299.96

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Solution

The fourth proportional to 383.12, 528.28 and 299.96 is: 413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.12 : 528.28 = 299.96 : x
  2. Step 2: Convert to fraction form
    383.12/528.28 = 299.96/x
  3. Step 3: Cross multiply
    383.12x = 528.28 × 299.96
  4. Step 4: Simplify right side
    383.12x = 158,462.87
  5. Step 5: Solve for x
    x = 158,462.87/383.12
  6. Step 6: Final answer
    x = 413.61

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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.