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Finding the Fourth Proportional to 584.09, 806.00 and 322.10

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Solution

The fourth proportional to 584.09, 806.00 and 322.10 is: 444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.09 : 806.00 = 322.10 : x
  2. Step 2: Convert to fraction form
    584.09/806.00 = 322.10/x
  3. Step 3: Cross multiply
    584.09x = 806.00 × 322.10
  4. Step 4: Simplify right side
    584.09x = 259,606.96
  5. Step 5: Solve for x
    x = 259,606.96/584.09
  6. Step 6: Final answer
    x = 444.47

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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.