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Finding the Fourth Proportional to 584.52, 806.66 and 363.49

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Solution

The fourth proportional to 584.52, 806.66 and 363.49 is: 501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.52 : 806.66 = 363.49 : x
  2. Step 2: Convert to fraction form
    584.52/806.66 = 363.49/x
  3. Step 3: Cross multiply
    584.52x = 806.66 × 363.49
  4. Step 4: Simplify right side
    584.52x = 293,210.37
  5. Step 5: Solve for x
    x = 293,210.37/584.52
  6. Step 6: Final answer
    x = 501.63

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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.