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Finding the Fourth Proportional to 538.82, 808.32 and 173.57

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Solution

The fourth proportional to 538.82, 808.32 and 173.57 is: 260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.82 : 808.32 = 173.57 : x
  2. Step 2: Convert to fraction form
    538.82/808.32 = 173.57/x
  3. Step 3: Cross multiply
    538.82x = 808.32 × 173.57
  4. Step 4: Simplify right side
    538.82x = 140,300.10
  5. Step 5: Solve for x
    x = 140,300.10/538.82
  6. Step 6: Final answer
    x = 260.38

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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.