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Finding the Fourth Proportional to 480.75, 663.98 and 325.23

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Solution

The fourth proportional to 480.75, 663.98 and 325.23 is: 449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.75 : 663.98 = 325.23 : x
  2. Step 2: Convert to fraction form
    480.75/663.98 = 325.23/x
  3. Step 3: Cross multiply
    480.75x = 663.98 × 325.23
  4. Step 4: Simplify right side
    480.75x = 215,946.22
  5. Step 5: Solve for x
    x = 215,946.22/480.75
  6. Step 6: Final answer
    x = 449.19

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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.