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Finding the Fourth Proportional to 605.95, 909.14 and 297.75

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Solution

The fourth proportional to 605.95, 909.14 and 297.75 is: 446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.95 : 909.14 = 297.75 : x
  2. Step 2: Convert to fraction form
    605.95/909.14 = 297.75/x
  3. Step 3: Cross multiply
    605.95x = 909.14 × 297.75
  4. Step 4: Simplify right side
    605.95x = 270,696.44
  5. Step 5: Solve for x
    x = 270,696.44/605.95
  6. Step 6: Final answer
    x = 446.73

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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.