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Finding the Fourth Proportional to 538.18, 742.59 and 305.31

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Solution

The fourth proportional to 538.18, 742.59 and 305.31 is: 421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.18 : 742.59 = 305.31 : x
  2. Step 2: Convert to fraction form
    538.18/742.59 = 305.31/x
  3. Step 3: Cross multiply
    538.18x = 742.59 × 305.31
  4. Step 4: Simplify right side
    538.18x = 226,720.15
  5. Step 5: Solve for x
    x = 226,720.15/538.18
  6. Step 6: Final answer
    x = 421.27

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