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Finding the Fourth Proportional to 483.45, 724.23 and 277.38

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Solution

The fourth proportional to 483.45, 724.23 and 277.38 is: 415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.45 : 724.23 = 277.38 : x
  2. Step 2: Convert to fraction form
    483.45/724.23 = 277.38/x
  3. Step 3: Cross multiply
    483.45x = 724.23 × 277.38
  4. Step 4: Simplify right side
    483.45x = 200,886.92
  5. Step 5: Solve for x
    x = 200,886.92/483.45
  6. Step 6: Final answer
    x = 415.53

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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.