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Finding the Fourth Proportional to 978.93, 1,466.42 and 458.21

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Solution

The fourth proportional to 978.93, 1,466.42 and 458.21 is: 686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.93 : 1,466.42 = 458.21 : x
  2. Step 2: Convert to fraction form
    978.93/1,466.42 = 458.21/x
  3. Step 3: Cross multiply
    978.93x = 1,466.42 × 458.21
  4. Step 4: Simplify right side
    978.93x = 671,928.31
  5. Step 5: Solve for x
    x = 671,928.31/978.93
  6. Step 6: Final answer
    x = 686.39

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