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Finding the Fourth Proportional to 698.49, 964.26 and 450.23

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Solution

The fourth proportional to 698.49, 964.26 and 450.23 is: 621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.49 : 964.26 = 450.23 : x
  2. Step 2: Convert to fraction form
    698.49/964.26 = 450.23/x
  3. Step 3: Cross multiply
    698.49x = 964.26 × 450.23
  4. Step 4: Simplify right side
    698.49x = 434,133.96
  5. Step 5: Solve for x
    x = 434,133.96/698.49
  6. Step 6: Final answer
    x = 621.53

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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.