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Finding the Fourth Proportional to 559.09, 771.23 and 362.57

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Solution

The fourth proportional to 559.09, 771.23 and 362.57 is: 500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.09 : 771.23 = 362.57 : x
  2. Step 2: Convert to fraction form
    559.09/771.23 = 362.57/x
  3. Step 3: Cross multiply
    559.09x = 771.23 × 362.57
  4. Step 4: Simplify right side
    559.09x = 279,623.05
  5. Step 5: Solve for x
    x = 279,623.05/559.09
  6. Step 6: Final answer
    x = 500.14

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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.