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Finding the Fourth Proportional to 444.49, 665.73 and 306.91

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Solution

The fourth proportional to 444.49, 665.73 and 306.91 is: 459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.49 : 665.73 = 306.91 : x
  2. Step 2: Convert to fraction form
    444.49/665.73 = 306.91/x
  3. Step 3: Cross multiply
    444.49x = 665.73 × 306.91
  4. Step 4: Simplify right side
    444.49x = 204,319.19
  5. Step 5: Solve for x
    x = 204,319.19/444.49
  6. Step 6: Final answer
    x = 459.67

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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.