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Finding the Fourth Proportional to 411.24, 567.74 and 285.36

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Solution

The fourth proportional to 411.24, 567.74 and 285.36 is: 393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.24 : 567.74 = 285.36 : x
  2. Step 2: Convert to fraction form
    411.24/567.74 = 285.36/x
  3. Step 3: Cross multiply
    411.24x = 567.74 × 285.36
  4. Step 4: Simplify right side
    411.24x = 162,010.29
  5. Step 5: Solve for x
    x = 162,010.29/411.24
  6. Step 6: Final answer
    x = 393.96

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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.