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Finding the Fourth Proportional to 584.07, 806 and 322.09

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Solution

The fourth proportional to 584.07, 806 and 322.09 is: 444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.07 : 806 = 322.09 : x
  2. Step 2: Convert to fraction form
    584.07/806 = 322.09/x
  3. Step 3: Cross multiply
    584.07x = 806 × 322.09
  4. Step 4: Simplify right side
    584.07x = 259,600.51
  5. Step 5: Solve for x
    x = 259,600.51/584.07
  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.