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Finding the Fourth Proportional to 436.36, 653.82 and 273.64

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Solution

The fourth proportional to 436.36, 653.82 and 273.64 is: 410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.36 : 653.82 = 273.64 : x
  2. Step 2: Convert to fraction form
    436.36/653.82 = 273.64/x
  3. Step 3: Cross multiply
    436.36x = 653.82 × 273.64
  4. Step 4: Simplify right side
    436.36x = 178,911.30
  5. Step 5: Solve for x
    x = 178,911.30/436.36
  6. Step 6: Final answer
    x = 410.01

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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.