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Finding the Fourth Proportional to 609.45, 912.56 and 320.28

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Solution

The fourth proportional to 609.45, 912.56 and 320.28 is: 479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.45 : 912.56 = 320.28 : x
  2. Step 2: Convert to fraction form
    609.45/912.56 = 320.28/x
  3. Step 3: Cross multiply
    609.45x = 912.56 × 320.28
  4. Step 4: Simplify right side
    609.45x = 292,273.12
  5. Step 5: Solve for x
    x = 292,273.12/609.45
  6. Step 6: Final answer
    x = 479.57

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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.