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Finding the Fourth Proportional to 411, 566.82 and 294.36

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Solution

The fourth proportional to 411, 566.82 and 294.36 is: 405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 566.82 = 294.36 : x
  2. Step 2: Convert to fraction form
    411/566.82 = 294.36/x
  3. Step 3: Cross multiply
    411x = 566.82 × 294.36
  4. Step 4: Simplify right side
    411x = 166,849.14
  5. Step 5: Solve for x
    x = 166,849.14/411
  6. Step 6: Final answer
    x = 405.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.