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Finding the Fourth Proportional to 382.66, 527.76 and 299.62

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Solution

The fourth proportional to 382.66, 527.76 and 299.62 is: 413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.66 : 527.76 = 299.62 : x
  2. Step 2: Convert to fraction form
    382.66/527.76 = 299.62/x
  3. Step 3: Cross multiply
    382.66x = 527.76 × 299.62
  4. Step 4: Simplify right side
    382.66x = 158,127.45
  5. Step 5: Solve for x
    x = 158,127.45/382.66
  6. Step 6: Final answer
    x = 413.23

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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.