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Finding the Fourth Proportional to 538.82, 808.21 and 504.23

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Solution

The fourth proportional to 538.82, 808.21 and 504.23 is: 756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.82 : 808.21 = 504.23 : x
  2. Step 2: Convert to fraction form
    538.82/808.21 = 504.23/x
  3. Step 3: Cross multiply
    538.82x = 808.21 × 504.23
  4. Step 4: Simplify right side
    538.82x = 407,520.32
  5. Step 5: Solve for x
    x = 407,520.32/538.82
  6. Step 6: Final answer
    x = 756.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.