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Finding the Fourth Proportional to 383.12, 528.84 and 252.08

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Solution

The fourth proportional to 383.12, 528.84 and 252.08 is: 347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.12 : 528.84 = 252.08 : x
  2. Step 2: Convert to fraction form
    383.12/528.84 = 252.08/x
  3. Step 3: Cross multiply
    383.12x = 528.84 × 252.08
  4. Step 4: Simplify right side
    383.12x = 133,309.99
  5. Step 5: Solve for x
    x = 133,309.99/383.12
  6. Step 6: Final answer
    x = 347.96

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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.