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Finding the Fourth Proportional to 322.24, 483.78 and 309.22

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Solution

The fourth proportional to 322.24, 483.78 and 309.22 is: 464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.24 : 483.78 = 309.22 : x
  2. Step 2: Convert to fraction form
    322.24/483.78 = 309.22/x
  3. Step 3: Cross multiply
    322.24x = 483.78 × 309.22
  4. Step 4: Simplify right side
    322.24x = 149,594.45
  5. Step 5: Solve for x
    x = 149,594.45/322.24
  6. Step 6: Final answer
    x = 464.23

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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.