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Finding the Fourth Proportional to 978.19, 1,467.52 and 284.87

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Solution

The fourth proportional to 978.19, 1,467.52 and 284.87 is: 427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.19 : 1,467.52 = 284.87 : x
  2. Step 2: Convert to fraction form
    978.19/1,467.52 = 284.87/x
  3. Step 3: Cross multiply
    978.19x = 1,467.52 × 284.87
  4. Step 4: Simplify right side
    978.19x = 418,055.38
  5. Step 5: Solve for x
    x = 418,055.38/978.19
  6. Step 6: Final answer
    x = 427.38

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