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Finding the Fourth Proportional to 584.59, 806.74 and 322.63

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Solution

The fourth proportional to 584.59, 806.74 and 322.63 is: 445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.59 : 806.74 = 322.63 : x
  2. Step 2: Convert to fraction form
    584.59/806.74 = 322.63/x
  3. Step 3: Cross multiply
    584.59x = 806.74 × 322.63
  4. Step 4: Simplify right side
    584.59x = 260,278.53
  5. Step 5: Solve for x
    x = 260,278.53/584.59
  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.