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Finding the Fourth Proportional to 371.28, 511.19 and 305.01

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Solution

The fourth proportional to 371.28, 511.19 and 305.01 is: 419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.28 : 511.19 = 305.01 : x
  2. Step 2: Convert to fraction form
    371.28/511.19 = 305.01/x
  3. Step 3: Cross multiply
    371.28x = 511.19 × 305.01
  4. Step 4: Simplify right side
    371.28x = 155,916.54
  5. Step 5: Solve for x
    x = 155,916.54/371.28
  6. Step 6: Final answer
    x = 419.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.