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Finding the Fourth Proportional to 484.53, 727.17 and 253.48

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Solution

The fourth proportional to 484.53, 727.17 and 253.48 is: 380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.53 : 727.17 = 253.48 : x
  2. Step 2: Convert to fraction form
    484.53/727.17 = 253.48/x
  3. Step 3: Cross multiply
    484.53x = 727.17 × 253.48
  4. Step 4: Simplify right side
    484.53x = 184,323.05
  5. Step 5: Solve for x
    x = 184,323.05/484.53
  6. Step 6: Final answer
    x = 380.42

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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.