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Finding the Fourth Proportional to 393.05, 542.43 and 304.63

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Solution

The fourth proportional to 393.05, 542.43 and 304.63 is: 420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.05 : 542.43 = 304.63 : x
  2. Step 2: Convert to fraction form
    393.05/542.43 = 304.63/x
  3. Step 3: Cross multiply
    393.05x = 542.43 × 304.63
  4. Step 4: Simplify right side
    393.05x = 165,239.09
  5. Step 5: Solve for x
    x = 165,239.09/393.05
  6. Step 6: Final answer
    x = 420.40

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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.