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Finding the Fourth Proportional to 584.57, 806.68 and 322.58

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Solution

The fourth proportional to 584.57, 806.68 and 322.58 is: 445.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.57 : 806.68 = 322.58 : x
  2. Step 2: Convert to fraction form
    584.57/806.68 = 322.58/x
  3. Step 3: Cross multiply
    584.57x = 806.68 × 322.58
  4. Step 4: Simplify right side
    584.57x = 260,220.04
  5. Step 5: Solve for x
    x = 260,220.04/584.57
  6. Step 6: Final answer
    x = 445.15

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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.