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Finding the Fourth Proportional to 462.89, 694.33 and 188.91

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Solution

The fourth proportional to 462.89, 694.33 and 188.91 is: 283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.89 : 694.33 = 188.91 : x
  2. Step 2: Convert to fraction form
    462.89/694.33 = 188.91/x
  3. Step 3: Cross multiply
    462.89x = 694.33 × 188.91
  4. Step 4: Simplify right side
    462.89x = 131,165.41
  5. Step 5: Solve for x
    x = 131,165.41/462.89
  6. Step 6: Final answer
    x = 283.36

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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.