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Finding the Fourth Proportional to 428.46, 589.44 and 378.42

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Solution

The fourth proportional to 428.46, 589.44 and 378.42 is: 520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.46 : 589.44 = 378.42 : x
  2. Step 2: Convert to fraction form
    428.46/589.44 = 378.42/x
  3. Step 3: Cross multiply
    428.46x = 589.44 × 378.42
  4. Step 4: Simplify right side
    428.46x = 223,055.88
  5. Step 5: Solve for x
    x = 223,055.88/428.46
  6. Step 6: Final answer
    x = 520.60

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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.