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Finding the Fourth Proportional to 353.46, 487.11 and 347.16

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Solution

The fourth proportional to 353.46, 487.11 and 347.16 is: 478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.46 : 487.11 = 347.16 : x
  2. Step 2: Convert to fraction form
    353.46/487.11 = 347.16/x
  3. Step 3: Cross multiply
    353.46x = 487.11 × 347.16
  4. Step 4: Simplify right side
    353.46x = 169,105.11
  5. Step 5: Solve for x
    x = 169,105.11/353.46
  6. Step 6: Final answer
    x = 478.43

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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.