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Finding the Fourth Proportional to 506.70, 697.31 and 492.43

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Solution

The fourth proportional to 506.70, 697.31 and 492.43 is: 677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.70 : 697.31 = 492.43 : x
  2. Step 2: Convert to fraction form
    506.70/697.31 = 492.43/x
  3. Step 3: Cross multiply
    506.70x = 697.31 × 492.43
  4. Step 4: Simplify right side
    506.70x = 343,372.88
  5. Step 5: Solve for x
    x = 343,372.88/506.70
  6. Step 6: Final answer
    x = 677.67

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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.