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Finding the Fourth Proportional to 589.06, 813.81 and 495.91

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Solution

The fourth proportional to 589.06, 813.81 and 495.91 is: 685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.06 : 813.81 = 495.91 : x
  2. Step 2: Convert to fraction form
    589.06/813.81 = 495.91/x
  3. Step 3: Cross multiply
    589.06x = 813.81 × 495.91
  4. Step 4: Simplify right side
    589.06x = 403,576.52
  5. Step 5: Solve for x
    x = 403,576.52/589.06
  6. Step 6: Final answer
    x = 685.12

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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.