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Finding the Fourth Proportional to 628.43, 943.01 and 320.27

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Solution

The fourth proportional to 628.43, 943.01 and 320.27 is: 480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.43 : 943.01 = 320.27 : x
  2. Step 2: Convert to fraction form
    628.43/943.01 = 320.27/x
  3. Step 3: Cross multiply
    628.43x = 943.01 × 320.27
  4. Step 4: Simplify right side
    628.43x = 302,011.50
  5. Step 5: Solve for x
    x = 302,011.50/628.43
  6. Step 6: Final answer
    x = 480.58

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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.