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Finding the Fourth Proportional to 389.78, 583.40 and 287.04

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Solution

The fourth proportional to 389.78, 583.40 and 287.04 is: 429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.78 : 583.40 = 287.04 : x
  2. Step 2: Convert to fraction form
    389.78/583.40 = 287.04/x
  3. Step 3: Cross multiply
    389.78x = 583.40 × 287.04
  4. Step 4: Simplify right side
    389.78x = 167,459.14
  5. Step 5: Solve for x
    x = 167,459.14/389.78
  6. Step 6: Final answer
    x = 429.62

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