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Finding the Fourth Proportional to 634.75, 952.43 and 403.75

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Solution

The fourth proportional to 634.75, 952.43 and 403.75 is: 605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.75 : 952.43 = 403.75 : x
  2. Step 2: Convert to fraction form
    634.75/952.43 = 403.75/x
  3. Step 3: Cross multiply
    634.75x = 952.43 × 403.75
  4. Step 4: Simplify right side
    634.75x = 384,543.61
  5. Step 5: Solve for x
    x = 384,543.61/634.75
  6. Step 6: Final answer
    x = 605.82

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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.