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Finding the Fourth Proportional to 743.91, 1,115.60 and 256.83

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Solution

The fourth proportional to 743.91, 1,115.60 and 256.83 is: 385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.91 : 1,115.60 = 256.83 : x
  2. Step 2: Convert to fraction form
    743.91/1,115.60 = 256.83/x
  3. Step 3: Cross multiply
    743.91x = 1,115.60 × 256.83
  4. Step 4: Simplify right side
    743.91x = 286,518.26
  5. Step 5: Solve for x
    x = 286,518.26/743.91
  6. Step 6: Final answer
    x = 385.15

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