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Finding the Fourth Proportional to 584.28, 806.44 and 332.26

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Solution

The fourth proportional to 584.28, 806.44 and 332.26 is: 458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.28 : 806.44 = 332.26 : x
  2. Step 2: Convert to fraction form
    584.28/806.44 = 332.26/x
  3. Step 3: Cross multiply
    584.28x = 806.44 × 332.26
  4. Step 4: Simplify right side
    584.28x = 267,947.75
  5. Step 5: Solve for x
    x = 267,947.75/584.28
  6. Step 6: Final answer
    x = 458.59

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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.