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Finding the Fourth Proportional to 614.08, 847.41 and 334.31

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Solution

The fourth proportional to 614.08, 847.41 and 334.31 is: 461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.08 : 847.41 = 334.31 : x
  2. Step 2: Convert to fraction form
    614.08/847.41 = 334.31/x
  3. Step 3: Cross multiply
    614.08x = 847.41 × 334.31
  4. Step 4: Simplify right side
    614.08x = 283,297.64
  5. Step 5: Solve for x
    x = 283,297.64/614.08
  6. Step 6: Final answer
    x = 461.34

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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.