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Finding the Fourth Proportional to 492.09, 739.53 and 473.91

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Solution

The fourth proportional to 492.09, 739.53 and 473.91 is: 712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.09 : 739.53 = 473.91 : x
  2. Step 2: Convert to fraction form
    492.09/739.53 = 473.91/x
  3. Step 3: Cross multiply
    492.09x = 739.53 × 473.91
  4. Step 4: Simplify right side
    492.09x = 350,470.66
  5. Step 5: Solve for x
    x = 350,470.66/492.09
  6. Step 6: Final answer
    x = 712.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.