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Finding the Fourth Proportional to 371.18, 511.35 and 277.76

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Solution

The fourth proportional to 371.18, 511.35 and 277.76 is: 382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.18 : 511.35 = 277.76 : x
  2. Step 2: Convert to fraction form
    371.18/511.35 = 277.76/x
  3. Step 3: Cross multiply
    371.18x = 511.35 × 277.76
  4. Step 4: Simplify right side
    371.18x = 142,032.81
  5. Step 5: Solve for x
    x = 142,032.81/371.18
  6. Step 6: Final answer
    x = 382.65

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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.