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Finding the Fourth Proportional to 537.93, 741.75 and 369.69

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Solution

The fourth proportional to 537.93, 741.75 and 369.69 is: 509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.93 : 741.75 = 369.69 : x
  2. Step 2: Convert to fraction form
    537.93/741.75 = 369.69/x
  3. Step 3: Cross multiply
    537.93x = 741.75 × 369.69
  4. Step 4: Simplify right side
    537.93x = 274,217.56
  5. Step 5: Solve for x
    x = 274,217.56/537.93
  6. Step 6: Final answer
    x = 509.76

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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.