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Finding the Fourth Proportional to 561.24, 842 and 236.68

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Solution

The fourth proportional to 561.24, 842 and 236.68 is: 355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.24 : 842 = 236.68 : x
  2. Step 2: Convert to fraction form
    561.24/842 = 236.68/x
  3. Step 3: Cross multiply
    561.24x = 842 × 236.68
  4. Step 4: Simplify right side
    561.24x = 199,284.56
  5. Step 5: Solve for x
    x = 199,284.56/561.24
  6. Step 6: Final answer
    x = 355.08

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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.