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Finding the Fourth Proportional to 378.19, 520.90 and 325.63

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Solution

The fourth proportional to 378.19, 520.90 and 325.63 is: 448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.19 : 520.90 = 325.63 : x
  2. Step 2: Convert to fraction form
    378.19/520.90 = 325.63/x
  3. Step 3: Cross multiply
    378.19x = 520.90 × 325.63
  4. Step 4: Simplify right side
    378.19x = 169,620.67
  5. Step 5: Solve for x
    x = 169,620.67/378.19
  6. Step 6: Final answer
    x = 448.51

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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.