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Finding the Fourth Proportional to 584.34, 806.42 and 322.35

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Solution

The fourth proportional to 584.34, 806.42 and 322.35 is: 444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.34 : 806.42 = 322.35 : x
  2. Step 2: Convert to fraction form
    584.34/806.42 = 322.35/x
  3. Step 3: Cross multiply
    584.34x = 806.42 × 322.35
  4. Step 4: Simplify right side
    584.34x = 259,949.49
  5. Step 5: Solve for x
    x = 259,949.49/584.34
  6. Step 6: Final answer
    x = 444.86

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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.