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Finding the Fourth Proportional to 609.70, 842.16 and 511.96

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Solution

The fourth proportional to 609.70, 842.16 and 511.96 is: 707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.70 : 842.16 = 511.96 : x
  2. Step 2: Convert to fraction form
    609.70/842.16 = 511.96/x
  3. Step 3: Cross multiply
    609.70x = 842.16 × 511.96
  4. Step 4: Simplify right side
    609.70x = 431,152.23
  5. Step 5: Solve for x
    x = 431,152.23/609.70
  6. Step 6: Final answer
    x = 707.15

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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.