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Finding the Fourth Proportional to 443.17, 662.99 and 380.95

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Solution

The fourth proportional to 443.17, 662.99 and 380.95 is: 569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.17 : 662.99 = 380.95 : x
  2. Step 2: Convert to fraction form
    443.17/662.99 = 380.95/x
  3. Step 3: Cross multiply
    443.17x = 662.99 × 380.95
  4. Step 4: Simplify right side
    443.17x = 252,566.21
  5. Step 5: Solve for x
    x = 252,566.21/443.17
  6. Step 6: Final answer
    x = 569.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.