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Finding the Fourth Proportional to 614.38, 847.84 and 338.38

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Solution

The fourth proportional to 614.38, 847.84 and 338.38 is: 466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.38 : 847.84 = 338.38 : x
  2. Step 2: Convert to fraction form
    614.38/847.84 = 338.38/x
  3. Step 3: Cross multiply
    614.38x = 847.84 × 338.38
  4. Step 4: Simplify right side
    614.38x = 286,887.86
  5. Step 5: Solve for x
    x = 286,887.86/614.38
  6. Step 6: Final answer
    x = 466.96

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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.