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Finding the Fourth Proportional to 485.28, 669.75 and 320.23

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Solution

The fourth proportional to 485.28, 669.75 and 320.23 is: 441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.28 : 669.75 = 320.23 : x
  2. Step 2: Convert to fraction form
    485.28/669.75 = 320.23/x
  3. Step 3: Cross multiply
    485.28x = 669.75 × 320.23
  4. Step 4: Simplify right side
    485.28x = 214,472.37
  5. Step 5: Solve for x
    x = 214,472.37/485.28
  6. Step 6: Final answer
    x = 441.96

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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.