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Finding the Fourth Proportional to 383.23, 528.85 and 208.57

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Solution

The fourth proportional to 383.23, 528.85 and 208.57 is: 287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.23 : 528.85 = 208.57 : x
  2. Step 2: Convert to fraction form
    383.23/528.85 = 208.57/x
  3. Step 3: Cross multiply
    383.23x = 528.85 × 208.57
  4. Step 4: Simplify right side
    383.23x = 110,303.17
  5. Step 5: Solve for x
    x = 110,303.17/383.23
  6. Step 6: Final answer
    x = 287.83

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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.