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Finding the Fourth Proportional to 364.08, 502.14 and 298.44

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Solution

The fourth proportional to 364.08, 502.14 and 298.44 is: 411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.08 : 502.14 = 298.44 : x
  2. Step 2: Convert to fraction form
    364.08/502.14 = 298.44/x
  3. Step 3: Cross multiply
    364.08x = 502.14 × 298.44
  4. Step 4: Simplify right side
    364.08x = 149,858.66
  5. Step 5: Solve for x
    x = 149,858.66/364.08
  6. Step 6: Final answer
    x = 411.61

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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.