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Finding the Fourth Proportional to 382.80, 528.06 and 299.88

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Solution

The fourth proportional to 382.80, 528.06 and 299.88 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.80 : 528.06 = 299.88 : x
  2. Step 2: Convert to fraction form
    382.80/528.06 = 299.88/x
  3. Step 3: Cross multiply
    382.80x = 528.06 × 299.88
  4. Step 4: Simplify right side
    382.80x = 158,354.63
  5. Step 5: Solve for x
    x = 158,354.63/382.80
  6. Step 6: Final answer
    x = 413.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.