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Finding the Fourth Proportional to 605.45, 907.84 and 297.23

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Solution

The fourth proportional to 605.45, 907.84 and 297.23 is: 445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.45 : 907.84 = 297.23 : x
  2. Step 2: Convert to fraction form
    605.45/907.84 = 297.23/x
  3. Step 3: Cross multiply
    605.45x = 907.84 × 297.23
  4. Step 4: Simplify right side
    605.45x = 269,833.12
  5. Step 5: Solve for x
    x = 269,833.12/605.45
  6. Step 6: Final answer
    x = 445.67

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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.