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Finding the Fourth Proportional to 470.09, 703.23 and 393.21

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Solution

The fourth proportional to 470.09, 703.23 and 393.21 is: 588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.09 : 703.23 = 393.21 : x
  2. Step 2: Convert to fraction form
    470.09/703.23 = 393.21/x
  3. Step 3: Cross multiply
    470.09x = 703.23 × 393.21
  4. Step 4: Simplify right side
    470.09x = 276,517.07
  5. Step 5: Solve for x
    x = 276,517.07/470.09
  6. Step 6: Final answer
    x = 588.23

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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.