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Finding the Fourth Proportional to 389.28, 537.44 and 256.71

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Solution

The fourth proportional to 389.28, 537.44 and 256.71 is: 354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.28 : 537.44 = 256.71 : x
  2. Step 2: Convert to fraction form
    389.28/537.44 = 256.71/x
  3. Step 3: Cross multiply
    389.28x = 537.44 × 256.71
  4. Step 4: Simplify right side
    389.28x = 137,966.22
  5. Step 5: Solve for x
    x = 137,966.22/389.28
  6. Step 6: Final answer
    x = 354.41

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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.