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Finding the Fourth Proportional to 452.97, 678.38 and 404.37

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Solution

The fourth proportional to 452.97, 678.38 and 404.37 is: 605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.97 : 678.38 = 404.37 : x
  2. Step 2: Convert to fraction form
    452.97/678.38 = 404.37/x
  3. Step 3: Cross multiply
    452.97x = 678.38 × 404.37
  4. Step 4: Simplify right side
    452.97x = 274,314.50
  5. Step 5: Solve for x
    x = 274,314.50/452.97
  6. Step 6: Final answer
    x = 605.59

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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.