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Finding the Fourth Proportional to 514.41, 766.73 and 485.23

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Solution

The fourth proportional to 514.41, 766.73 and 485.23 is: 723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.41 : 766.73 = 485.23 : x
  2. Step 2: Convert to fraction form
    514.41/766.73 = 485.23/x
  3. Step 3: Cross multiply
    514.41x = 766.73 × 485.23
  4. Step 4: Simplify right side
    514.41x = 372,040.40
  5. Step 5: Solve for x
    x = 372,040.40/514.41
  6. Step 6: Final answer
    x = 723.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.