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Finding the Fourth Proportional to 561.93, 842.58 and 232.78

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Solution

The fourth proportional to 561.93, 842.58 and 232.78 is: 349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.93 : 842.58 = 232.78 : x
  2. Step 2: Convert to fraction form
    561.93/842.58 = 232.78/x
  3. Step 3: Cross multiply
    561.93x = 842.58 × 232.78
  4. Step 4: Simplify right side
    561.93x = 196,134.25
  5. Step 5: Solve for x
    x = 196,134.25/561.93
  6. Step 6: Final answer
    x = 349.04

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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.