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Finding the Fourth Proportional to 320.40, 480.33 and 224.28

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Solution

The fourth proportional to 320.40, 480.33 and 224.28 is: 336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.40 : 480.33 = 224.28 : x
  2. Step 2: Convert to fraction form
    320.40/480.33 = 224.28/x
  3. Step 3: Cross multiply
    320.40x = 480.33 × 224.28
  4. Step 4: Simplify right side
    320.40x = 107,728.41
  5. Step 5: Solve for x
    x = 107,728.41/320.40
  6. Step 6: Final answer
    x = 336.23

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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.