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Finding the Fourth Proportional to 537.22, 741.34 and 301.18

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Solution

The fourth proportional to 537.22, 741.34 and 301.18 is: 415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.22 : 741.34 = 301.18 : x
  2. Step 2: Convert to fraction form
    537.22/741.34 = 301.18/x
  3. Step 3: Cross multiply
    537.22x = 741.34 × 301.18
  4. Step 4: Simplify right side
    537.22x = 223,276.78
  5. Step 5: Solve for x
    x = 223,276.78/537.22
  6. Step 6: Final answer
    x = 415.62

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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.