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Finding the Fourth Proportional to 393.26, 542.51 and 305.33

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Solution

The fourth proportional to 393.26, 542.51 and 305.33 is: 421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.26 : 542.51 = 305.33 : x
  2. Step 2: Convert to fraction form
    393.26/542.51 = 305.33/x
  3. Step 3: Cross multiply
    393.26x = 542.51 × 305.33
  4. Step 4: Simplify right side
    393.26x = 165,640.34
  5. Step 5: Solve for x
    x = 165,640.34/393.26
  6. Step 6: Final answer
    x = 421.20

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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.