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Finding the Fourth Proportional to 436.44, 654.45 and 162.35

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Solution

The fourth proportional to 436.44, 654.45 and 162.35 is: 243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.44 : 654.45 = 162.35 : x
  2. Step 2: Convert to fraction form
    436.44/654.45 = 162.35/x
  3. Step 3: Cross multiply
    436.44x = 654.45 × 162.35
  4. Step 4: Simplify right side
    436.44x = 106,253.58
  5. Step 5: Solve for x
    x = 106,253.58/436.44
  6. Step 6: Final answer
    x = 243.46

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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.