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Finding the Fourth Proportional to 364.26, 502.17 and 259.59

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Solution

The fourth proportional to 364.26, 502.17 and 259.59 is: 357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.26 : 502.17 = 259.59 : x
  2. Step 2: Convert to fraction form
    364.26/502.17 = 259.59/x
  3. Step 3: Cross multiply
    364.26x = 502.17 × 259.59
  4. Step 4: Simplify right side
    364.26x = 130,358.31
  5. Step 5: Solve for x
    x = 130,358.31/364.26
  6. Step 6: Final answer
    x = 357.87

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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.