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Finding the Fourth Proportional to 371.53, 513.36 and 298.43

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Solution

The fourth proportional to 371.53, 513.36 and 298.43 is: 412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.53 : 513.36 = 298.43 : x
  2. Step 2: Convert to fraction form
    371.53/513.36 = 298.43/x
  3. Step 3: Cross multiply
    371.53x = 513.36 × 298.43
  4. Step 4: Simplify right side
    371.53x = 153,199.46
  5. Step 5: Solve for x
    x = 153,199.46/371.53
  6. Step 6: Final answer
    x = 412.35

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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.