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Finding the Fourth Proportional to 435.96, 654.35 and 192.69

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Solution

The fourth proportional to 435.96, 654.35 and 192.69 is: 289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.96 : 654.35 = 192.69 : x
  2. Step 2: Convert to fraction form
    435.96/654.35 = 192.69/x
  3. Step 3: Cross multiply
    435.96x = 654.35 × 192.69
  4. Step 4: Simplify right side
    435.96x = 126,085.74
  5. Step 5: Solve for x
    x = 126,085.74/435.96
  6. Step 6: Final answer
    x = 289.21

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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.