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Finding the Fourth Proportional to 978.23, 1,467.53 and 284.89

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Solution

The fourth proportional to 978.23, 1,467.53 and 284.89 is: 427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.23 : 1,467.53 = 284.89 : x
  2. Step 2: Convert to fraction form
    978.23/1,467.53 = 284.89/x
  3. Step 3: Cross multiply
    978.23x = 1,467.53 × 284.89
  4. Step 4: Simplify right side
    978.23x = 418,084.62
  5. Step 5: Solve for x
    x = 418,084.62/978.23
  6. Step 6: Final answer
    x = 427.39

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