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Finding the Fourth Proportional to 335.21, 462.71 and 202.44

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Solution

The fourth proportional to 335.21, 462.71 and 202.44 is: 279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.21 : 462.71 = 202.44 : x
  2. Step 2: Convert to fraction form
    335.21/462.71 = 202.44/x
  3. Step 3: Cross multiply
    335.21x = 462.71 × 202.44
  4. Step 4: Simplify right side
    335.21x = 93,670.65
  5. Step 5: Solve for x
    x = 93,670.65/335.21
  6. Step 6: Final answer
    x = 279.44

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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.