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Finding the Fourth Proportional to 492.92, 738.41 and 297.98

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Solution

The fourth proportional to 492.92, 738.41 and 297.98 is: 446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.92 : 738.41 = 297.98 : x
  2. Step 2: Convert to fraction form
    492.92/738.41 = 297.98/x
  3. Step 3: Cross multiply
    492.92x = 738.41 × 297.98
  4. Step 4: Simplify right side
    492.92x = 220,026.23
  5. Step 5: Solve for x
    x = 220,026.23/492.92
  6. Step 6: Final answer
    x = 446.38

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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.