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Finding the Fourth Proportional to 436.02, 654.19 and 179.38

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Solution

The fourth proportional to 436.02, 654.19 and 179.38 is: 269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.02 : 654.19 = 179.38 : x
  2. Step 2: Convert to fraction form
    436.02/654.19 = 179.38/x
  3. Step 3: Cross multiply
    436.02x = 654.19 × 179.38
  4. Step 4: Simplify right side
    436.02x = 117,348.60
  5. Step 5: Solve for x
    x = 117,348.60/436.02
  6. Step 6: Final answer
    x = 269.14

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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.