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Finding the Fourth Proportional to 662.25, 914.26 and 452.74

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Solution

The fourth proportional to 662.25, 914.26 and 452.74 is: 625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.25 : 914.26 = 452.74 : x
  2. Step 2: Convert to fraction form
    662.25/914.26 = 452.74/x
  3. Step 3: Cross multiply
    662.25x = 914.26 × 452.74
  4. Step 4: Simplify right side
    662.25x = 413,922.07
  5. Step 5: Solve for x
    x = 413,922.07/662.25
  6. Step 6: Final answer
    x = 625.02

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