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Finding the Fourth Proportional to 364.26, 502.68 and 246.06

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Solution

The fourth proportional to 364.26, 502.68 and 246.06 is: 339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.26 : 502.68 = 246.06 : x
  2. Step 2: Convert to fraction form
    364.26/502.68 = 246.06/x
  3. Step 3: Cross multiply
    364.26x = 502.68 × 246.06
  4. Step 4: Simplify right side
    364.26x = 123,689.44
  5. Step 5: Solve for x
    x = 123,689.44/364.26
  6. Step 6: Final answer
    x = 339.56

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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.