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Finding the Fourth Proportional to 585.12, 806.96 and 363.84

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Solution

The fourth proportional to 585.12, 806.96 and 363.84 is: 501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.12 : 806.96 = 363.84 : x
  2. Step 2: Convert to fraction form
    585.12/806.96 = 363.84/x
  3. Step 3: Cross multiply
    585.12x = 806.96 × 363.84
  4. Step 4: Simplify right side
    585.12x = 293,604.33
  5. Step 5: Solve for x
    x = 293,604.33/585.12
  6. Step 6: Final answer
    x = 501.78

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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.