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Finding the Fourth Proportional to 301.80, 417.20 and 243.48

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Solution

The fourth proportional to 301.80, 417.20 and 243.48 is: 336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.80 : 417.20 = 243.48 : x
  2. Step 2: Convert to fraction form
    301.80/417.20 = 243.48/x
  3. Step 3: Cross multiply
    301.80x = 417.20 × 243.48
  4. Step 4: Simplify right side
    301.80x = 101,579.86
  5. Step 5: Solve for x
    x = 101,579.86/301.80
  6. Step 6: Final answer
    x = 336.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.