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Finding the Fourth Proportional to 338.10, 506.70 and 298.01

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Solution

The fourth proportional to 338.10, 506.70 and 298.01 is: 446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.10 : 506.70 = 298.01 : x
  2. Step 2: Convert to fraction form
    338.10/506.70 = 298.01/x
  3. Step 3: Cross multiply
    338.10x = 506.70 × 298.01
  4. Step 4: Simplify right side
    338.10x = 150,999.96
  5. Step 5: Solve for x
    x = 150,999.96/338.10
  6. Step 6: Final answer
    x = 446.61

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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.