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Finding the Fourth Proportional to 584.65, 806.82 and 322.66

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Solution

The fourth proportional to 584.65, 806.82 and 322.66 is: 445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.65 : 806.82 = 322.66 : x
  2. Step 2: Convert to fraction form
    584.65/806.82 = 322.66/x
  3. Step 3: Cross multiply
    584.65x = 806.82 × 322.66
  4. Step 4: Simplify right side
    584.65x = 260,328.54
  5. Step 5: Solve for x
    x = 260,328.54/584.65
  6. Step 6: Final answer
    x = 445.27

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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.