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Finding the Fourth Proportional to 337.44, 505.44 and 208.92

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Solution

The fourth proportional to 337.44, 505.44 and 208.92 is: 312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.44 : 505.44 = 208.92 : x
  2. Step 2: Convert to fraction form
    337.44/505.44 = 208.92/x
  3. Step 3: Cross multiply
    337.44x = 505.44 × 208.92
  4. Step 4: Simplify right side
    337.44x = 105,596.52
  5. Step 5: Solve for x
    x = 105,596.52/337.44
  6. Step 6: Final answer
    x = 312.93

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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.