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Finding the Fourth Proportional to 436.51, 654.22 and 193.24

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Solution

The fourth proportional to 436.51, 654.22 and 193.24 is: 289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.51 : 654.22 = 193.24 : x
  2. Step 2: Convert to fraction form
    436.51/654.22 = 193.24/x
  3. Step 3: Cross multiply
    436.51x = 654.22 × 193.24
  4. Step 4: Simplify right side
    436.51x = 126,421.47
  5. Step 5: Solve for x
    x = 126,421.47/436.51
  6. Step 6: Final answer
    x = 289.62

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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.