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Finding the Fourth Proportional to 335.19, 462.44 and 256.42

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Solution

The fourth proportional to 335.19, 462.44 and 256.42 is: 353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.19 : 462.44 = 256.42 : x
  2. Step 2: Convert to fraction form
    335.19/462.44 = 256.42/x
  3. Step 3: Cross multiply
    335.19x = 462.44 × 256.42
  4. Step 4: Simplify right side
    335.19x = 118,579.94
  5. Step 5: Solve for x
    x = 118,579.94/335.19
  6. Step 6: Final answer
    x = 353.77

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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.