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Finding the Fourth Proportional to 490.70, 677.13 and 320.07

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Solution

The fourth proportional to 490.70, 677.13 and 320.07 is: 441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.70 : 677.13 = 320.07 : x
  2. Step 2: Convert to fraction form
    490.70/677.13 = 320.07/x
  3. Step 3: Cross multiply
    490.70x = 677.13 × 320.07
  4. Step 4: Simplify right side
    490.70x = 216,725.26
  5. Step 5: Solve for x
    x = 216,725.26/490.70
  6. Step 6: Final answer
    x = 441.67

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Why These Related Problems?

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