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Finding the Fourth Proportional to 561.42, 842.04 and 214.61

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Solution

The fourth proportional to 561.42, 842.04 and 214.61 is: 321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.42 : 842.04 = 214.61 : x
  2. Step 2: Convert to fraction form
    561.42/842.04 = 214.61/x
  3. Step 3: Cross multiply
    561.42x = 842.04 × 214.61
  4. Step 4: Simplify right side
    561.42x = 180,705.99
  5. Step 5: Solve for x
    x = 180,705.99/561.42
  6. Step 6: Final answer
    x = 321.87

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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.