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Finding the Fourth Proportional to 584.63, 806.72 and 322.59

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Solution

The fourth proportional to 584.63, 806.72 and 322.59 is: 445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.63 : 806.72 = 322.59 : x
  2. Step 2: Convert to fraction form
    584.63/806.72 = 322.59/x
  3. Step 3: Cross multiply
    584.63x = 806.72 × 322.59
  4. Step 4: Simplify right side
    584.63x = 260,239.80
  5. Step 5: Solve for x
    x = 260,239.80/584.63
  6. Step 6: Final answer
    x = 445.14

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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.