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Finding the Fourth Proportional to 382.73, 569.76 and 380.45

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Solution

The fourth proportional to 382.73, 569.76 and 380.45 is: 566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.73 : 569.76 = 380.45 : x
  2. Step 2: Convert to fraction form
    382.73/569.76 = 380.45/x
  3. Step 3: Cross multiply
    382.73x = 569.76 × 380.45
  4. Step 4: Simplify right side
    382.73x = 216,763.05
  5. Step 5: Solve for x
    x = 216,763.05/382.73
  6. Step 6: Final answer
    x = 566.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.