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Finding the Fourth Proportional to 364.26, 502.69 and 286.50

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Solution

The fourth proportional to 364.26, 502.69 and 286.50 is: 395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.26 : 502.69 = 286.50 : x
  2. Step 2: Convert to fraction form
    364.26/502.69 = 286.50/x
  3. Step 3: Cross multiply
    364.26x = 502.69 × 286.50
  4. Step 4: Simplify right side
    364.26x = 144,020.69
  5. Step 5: Solve for x
    x = 144,020.69/364.26
  6. Step 6: Final answer
    x = 395.38

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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.