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Finding the Fourth Proportional to 436.80, 662.64 and 436.80

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Solution

The fourth proportional to 436.80, 662.64 and 436.80 is: 662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.80 : 662.64 = 436.80 : x
  2. Step 2: Convert to fraction form
    436.80/662.64 = 436.80/x
  3. Step 3: Cross multiply
    436.80x = 662.64 × 436.80
  4. Step 4: Simplify right side
    436.80x = 289,441.15
  5. Step 5: Solve for x
    x = 289,441.15/436.80
  6. Step 6: Final answer
    x = 662.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.