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Finding the Fourth Proportional to 579.40, 866.94 and 323.08

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Solution

The fourth proportional to 579.40, 866.94 and 323.08 is: 483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.40 : 866.94 = 323.08 : x
  2. Step 2: Convert to fraction form
    579.40/866.94 = 323.08/x
  3. Step 3: Cross multiply
    579.40x = 866.94 × 323.08
  4. Step 4: Simplify right side
    579.40x = 280,090.98
  5. Step 5: Solve for x
    x = 280,090.98/579.40
  6. Step 6: Final answer
    x = 483.42

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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.