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Finding the Fourth Proportional to 614.41, 847.86 and 334.64

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Solution

The fourth proportional to 614.41, 847.86 and 334.64 is: 461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.41 : 847.86 = 334.64 : x
  2. Step 2: Convert to fraction form
    614.41/847.86 = 334.64/x
  3. Step 3: Cross multiply
    614.41x = 847.86 × 334.64
  4. Step 4: Simplify right side
    614.41x = 283,721.96
  5. Step 5: Solve for x
    x = 283,721.96/614.41
  6. Step 6: Final answer
    x = 461.78

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