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Finding the Fourth Proportional to 382.71, 570.41 and 371.58

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Solution

The fourth proportional to 382.71, 570.41 and 371.58 is: 553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.71 : 570.41 = 371.58 : x
  2. Step 2: Convert to fraction form
    382.71/570.41 = 371.58/x
  3. Step 3: Cross multiply
    382.71x = 570.41 × 371.58
  4. Step 4: Simplify right side
    382.71x = 211,952.95
  5. Step 5: Solve for x
    x = 211,952.95/382.71
  6. Step 6: Final answer
    x = 553.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.