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Finding the Fourth Proportional to 584.54, 806.70 and 363.58

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Solution

The fourth proportional to 584.54, 806.70 and 363.58 is: 501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.54 : 806.70 = 363.58 : x
  2. Step 2: Convert to fraction form
    584.54/806.70 = 363.58/x
  3. Step 3: Cross multiply
    584.54x = 806.70 × 363.58
  4. Step 4: Simplify right side
    584.54x = 293,299.99
  5. Step 5: Solve for x
    x = 293,299.99/584.54
  6. Step 6: Final answer
    x = 501.76

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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.