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Finding the Fourth Proportional to 523.40, 779.96 and 505.98

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Solution

The fourth proportional to 523.40, 779.96 and 505.98 is: 754.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.40 : 779.96 = 505.98 : x
  2. Step 2: Convert to fraction form
    523.40/779.96 = 505.98/x
  3. Step 3: Cross multiply
    523.40x = 779.96 × 505.98
  4. Step 4: Simplify right side
    523.40x = 394,645.43
  5. Step 5: Solve for x
    x = 394,645.43/523.40
  6. Step 6: Final answer
    x = 754.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.