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Finding the Fourth Proportional to 364.40, 502.19 and 259.49

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Solution

The fourth proportional to 364.40, 502.19 and 259.49 is: 357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.40 : 502.19 = 259.49 : x
  2. Step 2: Convert to fraction form
    364.40/502.19 = 259.49/x
  3. Step 3: Cross multiply
    364.40x = 502.19 × 259.49
  4. Step 4: Simplify right side
    364.40x = 130,309.47
  5. Step 5: Solve for x
    x = 130,309.47/364.40
  6. Step 6: Final answer
    x = 357.61

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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.