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Finding the Fourth Proportional to 481.55, 720.70 and 289.31

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Solution

The fourth proportional to 481.55, 720.70 and 289.31 is: 432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.55 : 720.70 = 289.31 : x
  2. Step 2: Convert to fraction form
    481.55/720.70 = 289.31/x
  3. Step 3: Cross multiply
    481.55x = 720.70 × 289.31
  4. Step 4: Simplify right side
    481.55x = 208,505.72
  5. Step 5: Solve for x
    x = 208,505.72/481.55
  6. Step 6: Final answer
    x = 432.99

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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.