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Finding the Fourth Proportional to 481.59, 720.77 and 364.14

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Solution

The fourth proportional to 481.59, 720.77 and 364.14 is: 544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.59 : 720.77 = 364.14 : x
  2. Step 2: Convert to fraction form
    481.59/720.77 = 364.14/x
  3. Step 3: Cross multiply
    481.59x = 720.77 × 364.14
  4. Step 4: Simplify right side
    481.59x = 262,459.37
  5. Step 5: Solve for x
    x = 262,459.37/481.59
  6. Step 6: Final answer
    x = 544.99

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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.