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Finding the Fourth Proportional to 385.11, 580.50 and 362.82

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Solution

The fourth proportional to 385.11, 580.50 and 362.82 is: 546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.11 : 580.50 = 362.82 : x
  2. Step 2: Convert to fraction form
    385.11/580.50 = 362.82/x
  3. Step 3: Cross multiply
    385.11x = 580.50 × 362.82
  4. Step 4: Simplify right side
    385.11x = 210,617.01
  5. Step 5: Solve for x
    x = 210,617.01/385.11
  6. Step 6: Final answer
    x = 546.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.