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Finding the Fourth Proportional to 371.71, 556.35 and 274.17

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Solution

The fourth proportional to 371.71, 556.35 and 274.17 is: 410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.71 : 556.35 = 274.17 : x
  2. Step 2: Convert to fraction form
    371.71/556.35 = 274.17/x
  3. Step 3: Cross multiply
    371.71x = 556.35 × 274.17
  4. Step 4: Simplify right side
    371.71x = 152,534.48
  5. Step 5: Solve for x
    x = 152,534.48/371.71
  6. Step 6: Final answer
    x = 410.36

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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.