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Finding the Fourth Proportional to 402.75, 604.13 and 174.75

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Solution

The fourth proportional to 402.75, 604.13 and 174.75 is: 262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.75 : 604.13 = 174.75 : x
  2. Step 2: Convert to fraction form
    402.75/604.13 = 174.75/x
  3. Step 3: Cross multiply
    402.75x = 604.13 × 174.75
  4. Step 4: Simplify right side
    402.75x = 105,570.84
  5. Step 5: Solve for x
    x = 105,570.84/402.75
  6. Step 6: Final answer
    x = 262.13

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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.