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Finding the Fourth Proportional to 559.49, 771.93 and 363.15

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Solution

The fourth proportional to 559.49, 771.93 and 363.15 is: 501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.49 : 771.93 = 363.15 : x
  2. Step 2: Convert to fraction form
    559.49/771.93 = 363.15/x
  3. Step 3: Cross multiply
    559.49x = 771.93 × 363.15
  4. Step 4: Simplify right side
    559.49x = 280,326.38
  5. Step 5: Solve for x
    x = 280,326.38/559.49
  6. Step 6: Final answer
    x = 501.04

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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.