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Finding the Fourth Proportional to 353.20, 487.42 and 294.88

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Solution

The fourth proportional to 353.20, 487.42 and 294.88 is: 406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.20 : 487.42 = 294.88 : x
  2. Step 2: Convert to fraction form
    353.20/487.42 = 294.88/x
  3. Step 3: Cross multiply
    353.20x = 487.42 × 294.88
  4. Step 4: Simplify right side
    353.20x = 143,730.41
  5. Step 5: Solve for x
    x = 143,730.41/353.20
  6. Step 6: Final answer
    x = 406.94

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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.