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Finding the Fourth Proportional to 353.08, 487.40 and 213.17

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Solution

The fourth proportional to 353.08, 487.40 and 213.17 is: 294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.08 : 487.40 = 213.17 : x
  2. Step 2: Convert to fraction form
    353.08/487.40 = 213.17/x
  3. Step 3: Cross multiply
    353.08x = 487.40 × 213.17
  4. Step 4: Simplify right side
    353.08x = 103,898.81
  5. Step 5: Solve for x
    x = 103,898.81/353.08
  6. Step 6: Final answer
    x = 294.26

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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.