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Finding the Fourth Proportional to 353.66, 487.98 and 213.74

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Solution

The fourth proportional to 353.66, 487.98 and 213.74 is: 294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.66 : 487.98 = 213.74 : x
  2. Step 2: Convert to fraction form
    353.66/487.98 = 213.74/x
  3. Step 3: Cross multiply
    353.66x = 487.98 × 213.74
  4. Step 4: Simplify right side
    353.66x = 104,300.85
  5. Step 5: Solve for x
    x = 104,300.85/353.66
  6. Step 6: Final answer
    x = 294.92

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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.