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Finding the Fourth Proportional to 371.27, 511.99 and 319

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Solution

The fourth proportional to 371.27, 511.99 and 319 is: 439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.27 : 511.99 = 319 : x
  2. Step 2: Convert to fraction form
    371.27/511.99 = 319/x
  3. Step 3: Cross multiply
    371.27x = 511.99 × 319
  4. Step 4: Simplify right side
    371.27x = 163,324.81
  5. Step 5: Solve for x
    x = 163,324.81/371.27
  6. Step 6: Final answer
    x = 439.91

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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.