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Finding the Fourth Proportional to 363.48, 541.60 and 351.84

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Solution

The fourth proportional to 363.48, 541.60 and 351.84 is: 524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.48 : 541.60 = 351.84 : x
  2. Step 2: Convert to fraction form
    363.48/541.60 = 351.84/x
  3. Step 3: Cross multiply
    363.48x = 541.60 × 351.84
  4. Step 4: Simplify right side
    363.48x = 190,556.54
  5. Step 5: Solve for x
    x = 190,556.54/363.48
  6. Step 6: Final answer
    x = 524.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.