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Finding the Fourth Proportional to 371.16, 557.46 and 329.40

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Solution

The fourth proportional to 371.16, 557.46 and 329.40 is: 494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.16 : 557.46 = 329.40 : x
  2. Step 2: Convert to fraction form
    371.16/557.46 = 329.40/x
  3. Step 3: Cross multiply
    371.16x = 557.46 × 329.40
  4. Step 4: Simplify right side
    371.16x = 183,627.32
  5. Step 5: Solve for x
    x = 183,627.32/371.16
  6. Step 6: Final answer
    x = 494.74

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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.