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Finding the Fourth Proportional to 417.72, 576.36 and 243.06

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Solution

The fourth proportional to 417.72, 576.36 and 243.06 is: 335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.72 : 576.36 = 243.06 : x
  2. Step 2: Convert to fraction form
    417.72/576.36 = 243.06/x
  3. Step 3: Cross multiply
    417.72x = 576.36 × 243.06
  4. Step 4: Simplify right side
    417.72x = 140,090.06
  5. Step 5: Solve for x
    x = 140,090.06/417.72
  6. Step 6: Final answer
    x = 335.37

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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.