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Finding the Fourth Proportional to 383.40, 574.08 and 285.54

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Solution

The fourth proportional to 383.40, 574.08 and 285.54 is: 427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.40 : 574.08 = 285.54 : x
  2. Step 2: Convert to fraction form
    383.40/574.08 = 285.54/x
  3. Step 3: Cross multiply
    383.40x = 574.08 × 285.54
  4. Step 4: Simplify right side
    383.40x = 163,922.80
  5. Step 5: Solve for x
    x = 163,922.80/383.40
  6. Step 6: Final answer
    x = 427.55

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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.