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Finding the Fourth Proportional to 436.15, 653.76 and 216.55

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Solution

The fourth proportional to 436.15, 653.76 and 216.55 is: 324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.15 : 653.76 = 216.55 : x
  2. Step 2: Convert to fraction form
    436.15/653.76 = 216.55/x
  3. Step 3: Cross multiply
    436.15x = 653.76 × 216.55
  4. Step 4: Simplify right side
    436.15x = 141,571.73
  5. Step 5: Solve for x
    x = 141,571.73/436.15
  6. Step 6: Final answer
    x = 324.59

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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.