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Finding the Fourth Proportional to 337.70, 447.84 and 337.70

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Solution

The fourth proportional to 337.70, 447.84 and 337.70 is: 447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.70 : 447.84 = 337.70 : x
  2. Step 2: Convert to fraction form
    337.70/447.84 = 337.70/x
  3. Step 3: Cross multiply
    337.70x = 447.84 × 337.70
  4. Step 4: Simplify right side
    337.70x = 151,235.57
  5. Step 5: Solve for x
    x = 151,235.57/337.70
  6. Step 6: Final answer
    x = 447.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.