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Finding the Fourth Proportional to 492.62, 738.09 and 347.63

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Solution

The fourth proportional to 492.62, 738.09 and 347.63 is: 520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.62 : 738.09 = 347.63 : x
  2. Step 2: Convert to fraction form
    492.62/738.09 = 347.63/x
  3. Step 3: Cross multiply
    492.62x = 738.09 × 347.63
  4. Step 4: Simplify right side
    492.62x = 256,578.54
  5. Step 5: Solve for x
    x = 256,578.54/492.62
  6. Step 6: Final answer
    x = 520.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.