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Finding the Fourth Proportional to 452.07, 622.71 and 378.36

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Solution

The fourth proportional to 452.07, 622.71 and 378.36 is: 521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.07 : 622.71 = 378.36 : x
  2. Step 2: Convert to fraction form
    452.07/622.71 = 378.36/x
  3. Step 3: Cross multiply
    452.07x = 622.71 × 378.36
  4. Step 4: Simplify right side
    452.07x = 235,608.56
  5. Step 5: Solve for x
    x = 235,608.56/452.07
  6. Step 6: Final answer
    x = 521.18

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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.