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Finding the Fourth Proportional to 364.28, 502.93 and 270.92

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Solution

The fourth proportional to 364.28, 502.93 and 270.92 is: 374.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.28 : 502.93 = 270.92 : x
  2. Step 2: Convert to fraction form
    364.28/502.93 = 270.92/x
  3. Step 3: Cross multiply
    364.28x = 502.93 × 270.92
  4. Step 4: Simplify right side
    364.28x = 136,249.93
  5. Step 5: Solve for x
    x = 136,249.93/364.28
  6. Step 6: Final answer
    x = 374.03

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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.