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Finding the Fourth Proportional to 327.61, 452.55 and 296.56

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Solution

The fourth proportional to 327.61, 452.55 and 296.56 is: 409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.61 : 452.55 = 296.56 : x
  2. Step 2: Convert to fraction form
    327.61/452.55 = 296.56/x
  3. Step 3: Cross multiply
    327.61x = 452.55 × 296.56
  4. Step 4: Simplify right side
    327.61x = 134,208.23
  5. Step 5: Solve for x
    x = 134,208.23/327.61
  6. Step 6: Final answer
    x = 409.66

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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.