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Finding the Fourth Proportional to 436.34, 654.78 and 231.06

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Solution

The fourth proportional to 436.34, 654.78 and 231.06 is: 346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.34 : 654.78 = 231.06 : x
  2. Step 2: Convert to fraction form
    436.34/654.78 = 231.06/x
  3. Step 3: Cross multiply
    436.34x = 654.78 × 231.06
  4. Step 4: Simplify right side
    436.34x = 151,293.47
  5. Step 5: Solve for x
    x = 151,293.47/436.34
  6. Step 6: Final answer
    x = 346.73

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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.