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Finding the Fourth Proportional to 873, 1,309.35 and 256.56

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Solution

The fourth proportional to 873, 1,309.35 and 256.56 is: 384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    873 : 1,309.35 = 256.56 : x
  2. Step 2: Convert to fraction form
    873/1,309.35 = 256.56/x
  3. Step 3: Cross multiply
    873x = 1,309.35 × 256.56
  4. Step 4: Simplify right side
    873x = 335,926.84
  5. Step 5: Solve for x
    x = 335,926.84/873
  6. Step 6: Final answer
    x = 384.80

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