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Finding the Fourth Proportional to 584.81, 806.72 and 363.88

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Solution

The fourth proportional to 584.81, 806.72 and 363.88 is: 501.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.81 : 806.72 = 363.88 : x
  2. Step 2: Convert to fraction form
    584.81/806.72 = 363.88/x
  3. Step 3: Cross multiply
    584.81x = 806.72 × 363.88
  4. Step 4: Simplify right side
    584.81x = 293,549.27
  5. Step 5: Solve for x
    x = 293,549.27/584.81
  6. Step 6: Final answer
    x = 501.96

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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.