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Finding the Fourth Proportional to 335.78, 463.23 and 211.25

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Solution

The fourth proportional to 335.78, 463.23 and 211.25 is: 291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.78 : 463.23 = 211.25 : x
  2. Step 2: Convert to fraction form
    335.78/463.23 = 211.25/x
  3. Step 3: Cross multiply
    335.78x = 463.23 × 211.25
  4. Step 4: Simplify right side
    335.78x = 97,857.34
  5. Step 5: Solve for x
    x = 97,857.34/335.78
  6. Step 6: Final answer
    x = 291.43

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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.