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Finding the Fourth Proportional to 483.57, 724.33 and 251.77

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Solution

The fourth proportional to 483.57, 724.33 and 251.77 is: 377.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.57 : 724.33 = 251.77 : x
  2. Step 2: Convert to fraction form
    483.57/724.33 = 251.77/x
  3. Step 3: Cross multiply
    483.57x = 724.33 × 251.77
  4. Step 4: Simplify right side
    483.57x = 182,364.56
  5. Step 5: Solve for x
    x = 182,364.56/483.57
  6. Step 6: Final answer
    x = 377.12

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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.