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Finding the Fourth Proportional to 495.89, 684.67 and 443.27

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Solution

The fourth proportional to 495.89, 684.67 and 443.27 is: 612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.89 : 684.67 = 443.27 : x
  2. Step 2: Convert to fraction form
    495.89/684.67 = 443.27/x
  3. Step 3: Cross multiply
    495.89x = 684.67 × 443.27
  4. Step 4: Simplify right side
    495.89x = 303,492.13
  5. Step 5: Solve for x
    x = 303,492.13/495.89
  6. Step 6: Final answer
    x = 612.01

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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.