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Finding the Fourth Proportional to 353.32, 487.44 and 213.40

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Solution

The fourth proportional to 353.32, 487.44 and 213.40 is: 294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.32 : 487.44 = 213.40 : x
  2. Step 2: Convert to fraction form
    353.32/487.44 = 213.40/x
  3. Step 3: Cross multiply
    353.32x = 487.44 × 213.40
  4. Step 4: Simplify right side
    353.32x = 104,019.70
  5. Step 5: Solve for x
    x = 104,019.70/353.32
  6. Step 6: Final answer
    x = 294.41

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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.