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Finding the Fourth Proportional to 462.43, 693.71 and 202.42

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Solution

The fourth proportional to 462.43, 693.71 and 202.42 is: 303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.43 : 693.71 = 202.42 : x
  2. Step 2: Convert to fraction form
    462.43/693.71 = 202.42/x
  3. Step 3: Cross multiply
    462.43x = 693.71 × 202.42
  4. Step 4: Simplify right side
    462.43x = 140,418.63
  5. Step 5: Solve for x
    x = 140,418.63/462.43
  6. Step 6: Final answer
    x = 303.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.