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Finding the Fourth Proportional to 584.61, 806.74 and 322.64

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Solution

The fourth proportional to 584.61, 806.74 and 322.64 is: 445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.61 : 806.74 = 322.64 : x
  2. Step 2: Convert to fraction form
    584.61/806.74 = 322.64/x
  3. Step 3: Cross multiply
    584.61x = 806.74 × 322.64
  4. Step 4: Simplify right side
    584.61x = 260,286.59
  5. Step 5: Solve for x
    x = 260,286.59/584.61
  6. Step 6: Final answer
    x = 445.23

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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.