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Finding the Fourth Proportional to 578.68, 866.19 and 383.84

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Solution

The fourth proportional to 578.68, 866.19 and 383.84 is: 574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.68 : 866.19 = 383.84 : x
  2. Step 2: Convert to fraction form
    578.68/866.19 = 383.84/x
  3. Step 3: Cross multiply
    578.68x = 866.19 × 383.84
  4. Step 4: Simplify right side
    578.68x = 332,478.73
  5. Step 5: Solve for x
    x = 332,478.73/578.68
  6. Step 6: Final answer
    x = 574.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.