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Finding the Fourth Proportional to 538.70, 808.16 and 173.52

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Solution

The fourth proportional to 538.70, 808.16 and 173.52 is: 260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.70 : 808.16 = 173.52 : x
  2. Step 2: Convert to fraction form
    538.70/808.16 = 173.52/x
  3. Step 3: Cross multiply
    538.70x = 808.16 × 173.52
  4. Step 4: Simplify right side
    538.70x = 140,231.06
  5. Step 5: Solve for x
    x = 140,231.06/538.70
  6. Step 6: Final answer
    x = 260.32

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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.