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Finding the Fourth Proportional to 538.42, 807.53 and 173.12

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Solution

The fourth proportional to 538.42, 807.53 and 173.12 is: 259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.42 : 807.53 = 173.12 : x
  2. Step 2: Convert to fraction form
    538.42/807.53 = 173.12/x
  3. Step 3: Cross multiply
    538.42x = 807.53 × 173.12
  4. Step 4: Simplify right side
    538.42x = 139,799.59
  5. Step 5: Solve for x
    x = 139,799.59/538.42
  6. Step 6: Final answer
    x = 259.65

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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.