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Finding the Fourth Proportional to 538.39, 807.66 and 274.96

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Solution

The fourth proportional to 538.39, 807.66 and 274.96 is: 412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.39 : 807.66 = 274.96 : x
  2. Step 2: Convert to fraction form
    538.39/807.66 = 274.96/x
  3. Step 3: Cross multiply
    538.39x = 807.66 × 274.96
  4. Step 4: Simplify right side
    538.39x = 222,074.19
  5. Step 5: Solve for x
    x = 222,074.19/538.39
  6. Step 6: Final answer
    x = 412.48

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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.