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Finding the Fourth Proportional to 402.70, 555.83 and 243.36

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Solution

The fourth proportional to 402.70, 555.83 and 243.36 is: 335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.70 : 555.83 = 243.36 : x
  2. Step 2: Convert to fraction form
    402.70/555.83 = 243.36/x
  3. Step 3: Cross multiply
    402.70x = 555.83 × 243.36
  4. Step 4: Simplify right side
    402.70x = 135,266.79
  5. Step 5: Solve for x
    x = 135,266.79/402.70
  6. Step 6: Final answer
    x = 335.90

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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.