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Finding the Fourth Proportional to 561.09, 842.42 and 287.38

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Solution

The fourth proportional to 561.09, 842.42 and 287.38 is: 431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.09 : 842.42 = 287.38 : x
  2. Step 2: Convert to fraction form
    561.09/842.42 = 287.38/x
  3. Step 3: Cross multiply
    561.09x = 842.42 × 287.38
  4. Step 4: Simplify right side
    561.09x = 242,093.27
  5. Step 5: Solve for x
    x = 242,093.27/561.09
  6. Step 6: Final answer
    x = 431.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.