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Finding the Fourth Proportional to 411.14, 566.85 and 294.50

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Solution

The fourth proportional to 411.14, 566.85 and 294.50 is: 406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.14 : 566.85 = 294.50 : x
  2. Step 2: Convert to fraction form
    411.14/566.85 = 294.50/x
  3. Step 3: Cross multiply
    411.14x = 566.85 × 294.50
  4. Step 4: Simplify right side
    411.14x = 166,937.33
  5. Step 5: Solve for x
    x = 166,937.33/411.14
  6. Step 6: Final answer
    x = 406.04

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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.