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Finding the Fourth Proportional to 538.67, 808.00 and 173.48

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Solution

The fourth proportional to 538.67, 808.00 and 173.48 is: 260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.67 : 808.00 = 173.48 : x
  2. Step 2: Convert to fraction form
    538.67/808.00 = 173.48/x
  3. Step 3: Cross multiply
    538.67x = 808.00 × 173.48
  4. Step 4: Simplify right side
    538.67x = 140,167.37
  5. Step 5: Solve for x
    x = 140,167.37/538.67
  6. Step 6: Final answer
    x = 260.21

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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.