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Finding the Fourth Proportional to 461.31, 691.90 and 204.75

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Solution

The fourth proportional to 461.31, 691.90 and 204.75 is: 307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.31 : 691.90 = 204.75 : x
  2. Step 2: Convert to fraction form
    461.31/691.90 = 204.75/x
  3. Step 3: Cross multiply
    461.31x = 691.90 × 204.75
  4. Step 4: Simplify right side
    461.31x = 141,666.53
  5. Step 5: Solve for x
    x = 141,666.53/461.31
  6. Step 6: Final answer
    x = 307.10

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