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Finding the Fourth Proportional to 601.73, 827.72 and 495.11

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Solution

The fourth proportional to 601.73, 827.72 and 495.11 is: 681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.73 : 827.72 = 495.11 : x
  2. Step 2: Convert to fraction form
    601.73/827.72 = 495.11/x
  3. Step 3: Cross multiply
    601.73x = 827.72 × 495.11
  4. Step 4: Simplify right side
    601.73x = 409,813.90
  5. Step 5: Solve for x
    x = 409,813.90/601.73
  6. Step 6: Final answer
    x = 681.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.