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Finding the Fourth Proportional to 363.81, 501.85 and 339.51

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Solution

The fourth proportional to 363.81, 501.85 and 339.51 is: 468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.81 : 501.85 = 339.51 : x
  2. Step 2: Convert to fraction form
    363.81/501.85 = 339.51/x
  3. Step 3: Cross multiply
    363.81x = 501.85 × 339.51
  4. Step 4: Simplify right side
    363.81x = 170,383.09
  5. Step 5: Solve for x
    x = 170,383.09/363.81
  6. Step 6: Final answer
    x = 468.33

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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.