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Finding the Fourth Proportional to 435.93, 654.24 and 192.63

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Solution

The fourth proportional to 435.93, 654.24 and 192.63 is: 289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.93 : 654.24 = 192.63 : x
  2. Step 2: Convert to fraction form
    435.93/654.24 = 192.63/x
  3. Step 3: Cross multiply
    435.93x = 654.24 × 192.63
  4. Step 4: Simplify right side
    435.93x = 126,026.25
  5. Step 5: Solve for x
    x = 126,026.25/435.93
  6. Step 6: Final answer
    x = 289.10

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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.