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Finding the Fourth Proportional to 584.12, 806.09 and 322.13

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Solution

The fourth proportional to 584.12, 806.09 and 322.13 is: 444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.12 : 806.09 = 322.13 : x
  2. Step 2: Convert to fraction form
    584.12/806.09 = 322.13/x
  3. Step 3: Cross multiply
    584.12x = 806.09 × 322.13
  4. Step 4: Simplify right side
    584.12x = 259,666.18
  5. Step 5: Solve for x
    x = 259,666.18/584.12
  6. Step 6: Final answer
    x = 444.54

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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.