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Finding the Fourth Proportional to 411.26, 567.32 and 294.89

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Solution

The fourth proportional to 411.26, 567.32 and 294.89 is: 406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.26 : 567.32 = 294.89 : x
  2. Step 2: Convert to fraction form
    411.26/567.32 = 294.89/x
  3. Step 3: Cross multiply
    411.26x = 567.32 × 294.89
  4. Step 4: Simplify right side
    411.26x = 167,292.68
  5. Step 5: Solve for x
    x = 167,292.68/411.26
  6. Step 6: Final answer
    x = 406.79

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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.