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Finding the Fourth Proportional to 462.89, 694.55 and 189.05

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Solution

The fourth proportional to 462.89, 694.55 and 189.05 is: 283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.89 : 694.55 = 189.05 : x
  2. Step 2: Convert to fraction form
    462.89/694.55 = 189.05/x
  3. Step 3: Cross multiply
    462.89x = 694.55 × 189.05
  4. Step 4: Simplify right side
    462.89x = 131,306.89
  5. Step 5: Solve for x
    x = 131,306.89/462.89
  6. Step 6: Final answer
    x = 283.67

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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.