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Finding the Fourth Proportional to 584.36, 806.34 and 322.39

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Solution

The fourth proportional to 584.36, 806.34 and 322.39 is: 444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.36 : 806.34 = 322.39 : x
  2. Step 2: Convert to fraction form
    584.36/806.34 = 322.39/x
  3. Step 3: Cross multiply
    584.36x = 806.34 × 322.39
  4. Step 4: Simplify right side
    584.36x = 259,955.95
  5. Step 5: Solve for x
    x = 259,955.95/584.36
  6. Step 6: Final answer
    x = 444.86

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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.