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Finding the Fourth Proportional to 584.53, 806.74 and 363.55

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Solution

The fourth proportional to 584.53, 806.74 and 363.55 is: 501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.53 : 806.74 = 363.55 : x
  2. Step 2: Convert to fraction form
    584.53/806.74 = 363.55/x
  3. Step 3: Cross multiply
    584.53x = 806.74 × 363.55
  4. Step 4: Simplify right side
    584.53x = 293,289.42
  5. Step 5: Solve for x
    x = 293,289.42/584.53
  6. Step 6: Final answer
    x = 501.75

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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.