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Finding the Fourth Proportional to 383.07, 528.62 and 208.41

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Solution

The fourth proportional to 383.07, 528.62 and 208.41 is: 287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.07 : 528.62 = 208.41 : x
  2. Step 2: Convert to fraction form
    383.07/528.62 = 208.41/x
  3. Step 3: Cross multiply
    383.07x = 528.62 × 208.41
  4. Step 4: Simplify right side
    383.07x = 110,168.65
  5. Step 5: Solve for x
    x = 110,168.65/383.07
  6. Step 6: Final answer
    x = 287.59

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