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Finding the Fourth Proportional to 379.87, 524.52 and 306.54

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Solution

The fourth proportional to 379.87, 524.52 and 306.54 is: 423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.87 : 524.52 = 306.54 : x
  2. Step 2: Convert to fraction form
    379.87/524.52 = 306.54/x
  3. Step 3: Cross multiply
    379.87x = 524.52 × 306.54
  4. Step 4: Simplify right side
    379.87x = 160,786.36
  5. Step 5: Solve for x
    x = 160,786.36/379.87
  6. Step 6: Final answer
    x = 423.27

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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.