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Finding the Fourth Proportional to 371.70, 511.74 and 316.44

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Solution

The fourth proportional to 371.70, 511.74 and 316.44 is: 435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.70 : 511.74 = 316.44 : x
  2. Step 2: Convert to fraction form
    371.70/511.74 = 316.44/x
  3. Step 3: Cross multiply
    371.70x = 511.74 × 316.44
  4. Step 4: Simplify right side
    371.70x = 161,935.01
  5. Step 5: Solve for x
    x = 161,935.01/371.70
  6. Step 6: Final answer
    x = 435.66

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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.