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Finding the Fourth Proportional to 978.53, 1,467.74 and 285.17

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Solution

The fourth proportional to 978.53, 1,467.74 and 285.17 is: 427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.53 : 1,467.74 = 285.17 : x
  2. Step 2: Convert to fraction form
    978.53/1,467.74 = 285.17/x
  3. Step 3: Cross multiply
    978.53x = 1,467.74 × 285.17
  4. Step 4: Simplify right side
    978.53x = 418,557.66
  5. Step 5: Solve for x
    x = 418,557.66/978.53
  6. Step 6: Final answer
    x = 427.74

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