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Finding the Fourth Proportional to 743.28, 1,115.12 and 256.37

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Solution

The fourth proportional to 743.28, 1,115.12 and 256.37 is: 384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.28 : 1,115.12 = 256.37 : x
  2. Step 2: Convert to fraction form
    743.28/1,115.12 = 256.37/x
  3. Step 3: Cross multiply
    743.28x = 1,115.12 × 256.37
  4. Step 4: Simplify right side
    743.28x = 285,876.46
  5. Step 5: Solve for x
    x = 285,876.46/743.28
  6. Step 6: Final answer
    x = 384.61

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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.