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Finding the Fourth Proportional to 389.70, 537.44 and 330.71

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Solution

The fourth proportional to 389.70, 537.44 and 330.71 is: 456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.70 : 537.44 = 330.71 : x
  2. Step 2: Convert to fraction form
    389.70/537.44 = 330.71/x
  3. Step 3: Cross multiply
    389.70x = 537.44 × 330.71
  4. Step 4: Simplify right side
    389.70x = 177,732.44
  5. Step 5: Solve for x
    x = 177,732.44/389.70
  6. Step 6: Final answer
    x = 456.08

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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.