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Finding the Fourth Proportional to 335.14, 504.56 and 306.44

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Solution

The fourth proportional to 335.14, 504.56 and 306.44 is: 461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.14 : 504.56 = 306.44 : x
  2. Step 2: Convert to fraction form
    335.14/504.56 = 306.44/x
  3. Step 3: Cross multiply
    335.14x = 504.56 × 306.44
  4. Step 4: Simplify right side
    335.14x = 154,614.84
  5. Step 5: Solve for x
    x = 154,614.84/335.14
  6. Step 6: Final answer
    x = 461.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.