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Finding the Fourth Proportional to 614.09, 847.05 and 378.15

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Solution

The fourth proportional to 614.09, 847.05 and 378.15 is: 521.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.09 : 847.05 = 378.15 : x
  2. Step 2: Convert to fraction form
    614.09/847.05 = 378.15/x
  3. Step 3: Cross multiply
    614.09x = 847.05 × 378.15
  4. Step 4: Simplify right side
    614.09x = 320,311.96
  5. Step 5: Solve for x
    x = 320,311.96/614.09
  6. Step 6: Final answer
    x = 521.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.