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Finding the Fourth Proportional to 462.93, 694.41 and 189.07

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Solution

The fourth proportional to 462.93, 694.41 and 189.07 is: 283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.93 : 694.41 = 189.07 : x
  2. Step 2: Convert to fraction form
    462.93/694.41 = 189.07/x
  3. Step 3: Cross multiply
    462.93x = 694.41 × 189.07
  4. Step 4: Simplify right side
    462.93x = 131,292.10
  5. Step 5: Solve for x
    x = 131,292.10/462.93
  6. Step 6: Final answer
    x = 283.61

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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.