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Finding the Fourth Proportional to 383.68, 528.42 and 353.44

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Solution

The fourth proportional to 383.68, 528.42 and 353.44 is: 486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.68 : 528.42 = 353.44 : x
  2. Step 2: Convert to fraction form
    383.68/528.42 = 353.44/x
  3. Step 3: Cross multiply
    383.68x = 528.42 × 353.44
  4. Step 4: Simplify right side
    383.68x = 186,764.76
  5. Step 5: Solve for x
    x = 186,764.76/383.68
  6. Step 6: Final answer
    x = 486.77

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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.