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Finding the Fourth Proportional to 411.04, 563.87 and 386.20

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Solution

The fourth proportional to 411.04, 563.87 and 386.20 is: 529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.04 : 563.87 = 386.20 : x
  2. Step 2: Convert to fraction form
    411.04/563.87 = 386.20/x
  3. Step 3: Cross multiply
    411.04x = 563.87 × 386.20
  4. Step 4: Simplify right side
    411.04x = 217,766.59
  5. Step 5: Solve for x
    x = 217,766.59/411.04
  6. Step 6: Final answer
    x = 529.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.