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Finding the Fourth Proportional to 537.82, 741.54 and 449.42

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Solution

The fourth proportional to 537.82, 741.54 and 449.42 is: 619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.82 : 741.54 = 449.42 : x
  2. Step 2: Convert to fraction form
    537.82/741.54 = 449.42/x
  3. Step 3: Cross multiply
    537.82x = 741.54 × 449.42
  4. Step 4: Simplify right side
    537.82x = 333,262.91
  5. Step 5: Solve for x
    x = 333,262.91/537.82
  6. Step 6: Final answer
    x = 619.66

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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.