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Finding the Fourth Proportional to 626.43, 863.36 and 509.79

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Solution

The fourth proportional to 626.43, 863.36 and 509.79 is: 702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.43 : 863.36 = 509.79 : x
  2. Step 2: Convert to fraction form
    626.43/863.36 = 509.79/x
  3. Step 3: Cross multiply
    626.43x = 863.36 × 509.79
  4. Step 4: Simplify right side
    626.43x = 440,129.75
  5. Step 5: Solve for x
    x = 440,129.75/626.43
  6. Step 6: Final answer
    x = 702.60

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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.