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Finding the Fourth Proportional to 584.43, 806.50 and 322.45

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Solution

The fourth proportional to 584.43, 806.50 and 322.45 is: 444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.43 : 806.50 = 322.45 : x
  2. Step 2: Convert to fraction form
    584.43/806.50 = 322.45/x
  3. Step 3: Cross multiply
    584.43x = 806.50 × 322.45
  4. Step 4: Simplify right side
    584.43x = 260,055.93
  5. Step 5: Solve for x
    x = 260,055.93/584.43
  6. Step 6: Final answer
    x = 444.97

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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.