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Finding the Fourth Proportional to 484.50, 727.60 and 375.96

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Solution

The fourth proportional to 484.50, 727.60 and 375.96 is: 564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.50 : 727.60 = 375.96 : x
  2. Step 2: Convert to fraction form
    484.50/727.60 = 375.96/x
  3. Step 3: Cross multiply
    484.50x = 727.60 × 375.96
  4. Step 4: Simplify right side
    484.50x = 273,548.50
  5. Step 5: Solve for x
    x = 273,548.50/484.50
  6. Step 6: Final answer
    x = 564.60

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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.