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Finding the Fourth Proportional to 294.68, 441.84 and 209

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Solution

The fourth proportional to 294.68, 441.84 and 209 is: 313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.68 : 441.84 = 209 : x
  2. Step 2: Convert to fraction form
    294.68/441.84 = 209/x
  3. Step 3: Cross multiply
    294.68x = 441.84 × 209
  4. Step 4: Simplify right side
    294.68x = 92,344.56
  5. Step 5: Solve for x
    x = 92,344.56/294.68
  6. Step 6: Final answer
    x = 313.37

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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.