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Finding the Fourth Proportional to 437.20, 654.42 and 231.50

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Solution

The fourth proportional to 437.20, 654.42 and 231.50 is: 346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.20 : 654.42 = 231.50 : x
  2. Step 2: Convert to fraction form
    437.20/654.42 = 231.50/x
  3. Step 3: Cross multiply
    437.20x = 654.42 × 231.50
  4. Step 4: Simplify right side
    437.20x = 151,498.23
  5. Step 5: Solve for x
    x = 151,498.23/437.20
  6. Step 6: Final answer
    x = 346.52

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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.