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Finding the Fourth Proportional to 584.15, 806.12 and 322.16

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Solution

The fourth proportional to 584.15, 806.12 and 322.16 is: 444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.15 : 806.12 = 322.16 : x
  2. Step 2: Convert to fraction form
    584.15/806.12 = 322.16/x
  3. Step 3: Cross multiply
    584.15x = 806.12 × 322.16
  4. Step 4: Simplify right side
    584.15x = 259,699.62
  5. Step 5: Solve for x
    x = 259,699.62/584.15
  6. Step 6: Final answer
    x = 444.58

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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.