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Finding the Fourth Proportional to 436.76, 654.96 and 162.80

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Solution

The fourth proportional to 436.76, 654.96 and 162.80 is: 244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.76 : 654.96 = 162.80 : x
  2. Step 2: Convert to fraction form
    436.76/654.96 = 162.80/x
  3. Step 3: Cross multiply
    436.76x = 654.96 × 162.80
  4. Step 4: Simplify right side
    436.76x = 106,627.49
  5. Step 5: Solve for x
    x = 106,627.49/436.76
  6. Step 6: Final answer
    x = 244.13

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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.