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Finding the Fourth Proportional to 584.31, 806.32 and 322.31

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Solution

The fourth proportional to 584.31, 806.32 and 322.31 is: 444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.31 : 806.32 = 322.31 : x
  2. Step 2: Convert to fraction form
    584.31/806.32 = 322.31/x
  3. Step 3: Cross multiply
    584.31x = 806.32 × 322.31
  4. Step 4: Simplify right side
    584.31x = 259,887.42
  5. Step 5: Solve for x
    x = 259,887.42/584.31
  6. Step 6: Final answer
    x = 444.77

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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.