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Finding the Fourth Proportional to 481.57, 722.14 and 364.93

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Solution

The fourth proportional to 481.57, 722.14 and 364.93 is: 547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.57 : 722.14 = 364.93 : x
  2. Step 2: Convert to fraction form
    481.57/722.14 = 364.93/x
  3. Step 3: Cross multiply
    481.57x = 722.14 × 364.93
  4. Step 4: Simplify right side
    481.57x = 263,527.83
  5. Step 5: Solve for x
    x = 263,527.83/481.57
  6. Step 6: Final answer
    x = 547.23

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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.