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Finding the Fourth Proportional to 411.24, 567.36 and 234.19

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Solution

The fourth proportional to 411.24, 567.36 and 234.19 is: 323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.24 : 567.36 = 234.19 : x
  2. Step 2: Convert to fraction form
    411.24/567.36 = 234.19/x
  3. Step 3: Cross multiply
    411.24x = 567.36 × 234.19
  4. Step 4: Simplify right side
    411.24x = 132,870.75
  5. Step 5: Solve for x
    x = 132,870.75/411.24
  6. Step 6: Final answer
    x = 323.09

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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.