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Finding the Fourth Proportional to 537.79, 741.68 and 363.37

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Solution

The fourth proportional to 537.79, 741.68 and 363.37 is: 501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.79 : 741.68 = 363.37 : x
  2. Step 2: Convert to fraction form
    537.79/741.68 = 363.37/x
  3. Step 3: Cross multiply
    537.79x = 741.68 × 363.37
  4. Step 4: Simplify right side
    537.79x = 269,502.44
  5. Step 5: Solve for x
    x = 269,502.44/537.79
  6. Step 6: Final answer
    x = 501.13

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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.