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Finding the Fourth Proportional to 458.91, 688.64 and 198.86

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Solution

The fourth proportional to 458.91, 688.64 and 198.86 is: 298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.91 : 688.64 = 198.86 : x
  2. Step 2: Convert to fraction form
    458.91/688.64 = 198.86/x
  3. Step 3: Cross multiply
    458.91x = 688.64 × 198.86
  4. Step 4: Simplify right side
    458.91x = 136,938.51
  5. Step 5: Solve for x
    x = 136,938.51/458.91
  6. Step 6: Final answer
    x = 298.40

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