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Finding the Fourth Proportional to 675.94, 933.12 and 452.26

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Solution

The fourth proportional to 675.94, 933.12 and 452.26 is: 624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.94 : 933.12 = 452.26 : x
  2. Step 2: Convert to fraction form
    675.94/933.12 = 452.26/x
  3. Step 3: Cross multiply
    675.94x = 933.12 × 452.26
  4. Step 4: Simplify right side
    675.94x = 422,012.85
  5. Step 5: Solve for x
    x = 422,012.85/675.94
  6. Step 6: Final answer
    x = 624.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.