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Finding the Fourth Proportional to 978.02, 1,464.90 and 490.22

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Solution

The fourth proportional to 978.02, 1,464.90 and 490.22 is: 734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.02 : 1,464.90 = 490.22 : x
  2. Step 2: Convert to fraction form
    978.02/1,464.90 = 490.22/x
  3. Step 3: Cross multiply
    978.02x = 1,464.90 × 490.22
  4. Step 4: Simplify right side
    978.02x = 718,123.28
  5. Step 5: Solve for x
    x = 718,123.28/978.02
  6. Step 6: Final answer
    x = 734.26

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