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Finding the Fourth Proportional to 462.86, 693.82 and 243.56

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Solution

The fourth proportional to 462.86, 693.82 and 243.56 is: 365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.86 : 693.82 = 243.56 : x
  2. Step 2: Convert to fraction form
    462.86/693.82 = 243.56/x
  3. Step 3: Cross multiply
    462.86x = 693.82 × 243.56
  4. Step 4: Simplify right side
    462.86x = 168,986.80
  5. Step 5: Solve for x
    x = 168,986.80/462.86
  6. Step 6: Final answer
    x = 365.09

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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.