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Finding the Fourth Proportional to 584.52, 806.64 and 322.55

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Solution

The fourth proportional to 584.52, 806.64 and 322.55 is: 445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.52 : 806.64 = 322.55 : x
  2. Step 2: Convert to fraction form
    584.52/806.64 = 322.55/x
  3. Step 3: Cross multiply
    584.52x = 806.64 × 322.55
  4. Step 4: Simplify right side
    584.52x = 260,177.70
  5. Step 5: Solve for x
    x = 260,177.70/584.52
  6. Step 6: Final answer
    x = 445.11

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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.