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Finding the Fourth Proportional to 378.34, 567.52 and 224.44

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Solution

The fourth proportional to 378.34, 567.52 and 224.44 is: 336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.34 : 567.52 = 224.44 : x
  2. Step 2: Convert to fraction form
    378.34/567.52 = 224.44/x
  3. Step 3: Cross multiply
    378.34x = 567.52 × 224.44
  4. Step 4: Simplify right side
    378.34x = 127,374.19
  5. Step 5: Solve for x
    x = 127,374.19/378.34
  6. Step 6: Final answer
    x = 336.67

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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.