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Finding the Fourth Proportional to 290.32, 400.38 and 212.56

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Solution

The fourth proportional to 290.32, 400.38 and 212.56 is: 293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.32 : 400.38 = 212.56 : x
  2. Step 2: Convert to fraction form
    290.32/400.38 = 212.56/x
  3. Step 3: Cross multiply
    290.32x = 400.38 × 212.56
  4. Step 4: Simplify right side
    290.32x = 85,104.77
  5. Step 5: Solve for x
    x = 85,104.77/290.32
  6. Step 6: Final answer
    x = 293.14

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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.