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Finding the Fourth Proportional to 561.60, 842.06 and 232.44

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Solution

The fourth proportional to 561.60, 842.06 and 232.44 is: 348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.60 : 842.06 = 232.44 : x
  2. Step 2: Convert to fraction form
    561.60/842.06 = 232.44/x
  3. Step 3: Cross multiply
    561.60x = 842.06 × 232.44
  4. Step 4: Simplify right side
    561.60x = 195,727.26
  5. Step 5: Solve for x
    x = 195,727.26/561.60
  6. Step 6: Final answer
    x = 348.52

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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.