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Finding the Fourth Proportional to 319.98, 441.42 and 209.50

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Solution

The fourth proportional to 319.98, 441.42 and 209.50 is: 289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.98 : 441.42 = 209.50 : x
  2. Step 2: Convert to fraction form
    319.98/441.42 = 209.50/x
  3. Step 3: Cross multiply
    319.98x = 441.42 × 209.50
  4. Step 4: Simplify right side
    319.98x = 92,477.49
  5. Step 5: Solve for x
    x = 92,477.49/319.98
  6. Step 6: Final answer
    x = 289.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.