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Finding the Fourth Proportional to 290.12, 434.84 and 211.92

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Solution

The fourth proportional to 290.12, 434.84 and 211.92 is: 317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.12 : 434.84 = 211.92 : x
  2. Step 2: Convert to fraction form
    290.12/434.84 = 211.92/x
  3. Step 3: Cross multiply
    290.12x = 434.84 × 211.92
  4. Step 4: Simplify right side
    290.12x = 92,151.29
  5. Step 5: Solve for x
    x = 92,151.29/290.12
  6. Step 6: Final answer
    x = 317.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.