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Finding the Fourth Proportional to 584.38, 806.44 and 322.42

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Solution

The fourth proportional to 584.38, 806.44 and 322.42 is: 444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.38 : 806.44 = 322.42 : x
  2. Step 2: Convert to fraction form
    584.38/806.44 = 322.42/x
  3. Step 3: Cross multiply
    584.38x = 806.44 × 322.42
  4. Step 4: Simplify right side
    584.38x = 260,008.35
  5. Step 5: Solve for x
    x = 260,008.35/584.38
  6. Step 6: Final answer
    x = 444.93

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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.