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Finding the Fourth Proportional to 462.85, 693.67 and 189.15

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Solution

The fourth proportional to 462.85, 693.67 and 189.15 is: 283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.85 : 693.67 = 189.15 : x
  2. Step 2: Convert to fraction form
    462.85/693.67 = 189.15/x
  3. Step 3: Cross multiply
    462.85x = 693.67 × 189.15
  4. Step 4: Simplify right side
    462.85x = 131,207.68
  5. Step 5: Solve for x
    x = 131,207.68/462.85
  6. Step 6: Final answer
    x = 283.48

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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.