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Finding the Fourth Proportional to 978.48, 1,467.76 and 294.48

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Solution

The fourth proportional to 978.48, 1,467.76 and 294.48 is: 441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.48 : 1,467.76 = 294.48 : x
  2. Step 2: Convert to fraction form
    978.48/1,467.76 = 294.48/x
  3. Step 3: Cross multiply
    978.48x = 1,467.76 × 294.48
  4. Step 4: Simplify right side
    978.48x = 432,225.96
  5. Step 5: Solve for x
    x = 432,225.96/978.48
  6. Step 6: Final answer
    x = 441.73

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