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Finding the Fourth Proportional to 437.12, 654.46 and 231.23

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Solution

The fourth proportional to 437.12, 654.46 and 231.23 is: 346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.12 : 654.46 = 231.23 : x
  2. Step 2: Convert to fraction form
    437.12/654.46 = 231.23/x
  3. Step 3: Cross multiply
    437.12x = 654.46 × 231.23
  4. Step 4: Simplify right side
    437.12x = 151,326.94
  5. Step 5: Solve for x
    x = 151,326.94/437.12
  6. Step 6: Final answer
    x = 346.19

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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.