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Finding the Fourth Proportional to 500.74, 687.08 and 495.88

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Solution

The fourth proportional to 500.74, 687.08 and 495.88 is: 680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.74 : 687.08 = 495.88 : x
  2. Step 2: Convert to fraction form
    500.74/687.08 = 495.88/x
  3. Step 3: Cross multiply
    500.74x = 687.08 × 495.88
  4. Step 4: Simplify right side
    500.74x = 340,709.23
  5. Step 5: Solve for x
    x = 340,709.23/500.74
  6. Step 6: Final answer
    x = 680.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.