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Finding the Fourth Proportional to 319.34, 440.74 and 208.91

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Solution

The fourth proportional to 319.34, 440.74 and 208.91 is: 288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.34 : 440.74 = 208.91 : x
  2. Step 2: Convert to fraction form
    319.34/440.74 = 208.91/x
  3. Step 3: Cross multiply
    319.34x = 440.74 × 208.91
  4. Step 4: Simplify right side
    319.34x = 92,074.99
  5. Step 5: Solve for x
    x = 92,074.99/319.34
  6. Step 6: Final answer
    x = 288.33

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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.