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Finding the Fourth Proportional to 663.89, 914.70 and 495.12

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Solution

The fourth proportional to 663.89, 914.70 and 495.12 is: 682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.89 : 914.70 = 495.12 : x
  2. Step 2: Convert to fraction form
    663.89/914.70 = 495.12/x
  3. Step 3: Cross multiply
    663.89x = 914.70 × 495.12
  4. Step 4: Simplify right side
    663.89x = 452,891.55
  5. Step 5: Solve for x
    x = 452,891.55/663.89
  6. Step 6: Final answer
    x = 682.18

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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.