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Finding the Fourth Proportional to 378.18, 520.95 and 328.97

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Solution

The fourth proportional to 378.18, 520.95 and 328.97 is: 453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.18 : 520.95 = 328.97 : x
  2. Step 2: Convert to fraction form
    378.18/520.95 = 328.97/x
  3. Step 3: Cross multiply
    378.18x = 520.95 × 328.97
  4. Step 4: Simplify right side
    378.18x = 171,378.22
  5. Step 5: Solve for x
    x = 171,378.22/378.18
  6. Step 6: Final answer
    x = 453.17

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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.