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Finding the Fourth Proportional to 411.24, 566.96 and 322.82

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Solution

The fourth proportional to 411.24, 566.96 and 322.82 is: 445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.24 : 566.96 = 322.82 : x
  2. Step 2: Convert to fraction form
    411.24/566.96 = 322.82/x
  3. Step 3: Cross multiply
    411.24x = 566.96 × 322.82
  4. Step 4: Simplify right side
    411.24x = 183,021.58
  5. Step 5: Solve for x
    x = 183,021.58/411.24
  6. Step 6: Final answer
    x = 445.05

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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.