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Finding the Fourth Proportional to 538.14, 742.23 and 338.77

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Solution

The fourth proportional to 538.14, 742.23 and 338.77 is: 467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 742.23 = 338.77 : x
  2. Step 2: Convert to fraction form
    538.14/742.23 = 338.77/x
  3. Step 3: Cross multiply
    538.14x = 742.23 × 338.77
  4. Step 4: Simplify right side
    538.14x = 251,445.26
  5. Step 5: Solve for x
    x = 251,445.26/538.14
  6. Step 6: Final answer
    x = 467.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.