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Finding the Fourth Proportional to 294.44, 405.90 and 211.40

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Solution

The fourth proportional to 294.44, 405.90 and 211.40 is: 291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.44 : 405.90 = 211.40 : x
  2. Step 2: Convert to fraction form
    294.44/405.90 = 211.40/x
  3. Step 3: Cross multiply
    294.44x = 405.90 × 211.40
  4. Step 4: Simplify right side
    294.44x = 85,805.23
  5. Step 5: Solve for x
    x = 85,805.23/294.44
  6. Step 6: Final answer
    x = 291.42

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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.