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Finding the Fourth Proportional to 614.31, 847.74 and 334.54

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Solution

The fourth proportional to 614.31, 847.74 and 334.54 is: 461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.31 : 847.74 = 334.54 : x
  2. Step 2: Convert to fraction form
    614.31/847.74 = 334.54/x
  3. Step 3: Cross multiply
    614.31x = 847.74 × 334.54
  4. Step 4: Simplify right side
    614.31x = 283,605.25
  5. Step 5: Solve for x
    x = 283,605.25/614.31
  6. Step 6: Final answer
    x = 461.67

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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.