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Finding the Fourth Proportional to 383.10, 574.32 and 318.63

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Solution

The fourth proportional to 383.10, 574.32 and 318.63 is: 477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.10 : 574.32 = 318.63 : x
  2. Step 2: Convert to fraction form
    383.10/574.32 = 318.63/x
  3. Step 3: Cross multiply
    383.10x = 574.32 × 318.63
  4. Step 4: Simplify right side
    383.10x = 182,996.24
  5. Step 5: Solve for x
    x = 182,996.24/383.10
  6. Step 6: Final answer
    x = 477.67

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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.