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Finding the Fourth Proportional to 320.72, 480.53 and 228.95

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Solution

The fourth proportional to 320.72, 480.53 and 228.95 is: 343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.72 : 480.53 = 228.95 : x
  2. Step 2: Convert to fraction form
    320.72/480.53 = 228.95/x
  3. Step 3: Cross multiply
    320.72x = 480.53 × 228.95
  4. Step 4: Simplify right side
    320.72x = 110,013.80
  5. Step 5: Solve for x
    x = 110,013.80/320.72
  6. Step 6: Final answer
    x = 343.03

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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.