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Finding the Fourth Proportional to 469.27, 701.03 and 338.23

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Solution

The fourth proportional to 469.27, 701.03 and 338.23 is: 505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.27 : 701.03 = 338.23 : x
  2. Step 2: Convert to fraction form
    469.27/701.03 = 338.23/x
  3. Step 3: Cross multiply
    469.27x = 701.03 × 338.23
  4. Step 4: Simplify right side
    469.27x = 237,109.38
  5. Step 5: Solve for x
    x = 237,109.38/469.27
  6. Step 6: Final answer
    x = 505.27

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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.