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Finding the Fourth Proportional to 320.02, 480.38 and 228.79

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Solution

The fourth proportional to 320.02, 480.38 and 228.79 is: 343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.02 : 480.38 = 228.79 : x
  2. Step 2: Convert to fraction form
    320.02/480.38 = 228.79/x
  3. Step 3: Cross multiply
    320.02x = 480.38 × 228.79
  4. Step 4: Simplify right side
    320.02x = 109,903.80
  5. Step 5: Solve for x
    x = 109,903.80/320.02
  6. Step 6: Final answer
    x = 343.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.