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Finding the Fourth Proportional to 418.50, 628.15 and 174.96

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Solution

The fourth proportional to 418.50, 628.15 and 174.96 is: 262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.50 : 628.15 = 174.96 : x
  2. Step 2: Convert to fraction form
    418.50/628.15 = 174.96/x
  3. Step 3: Cross multiply
    418.50x = 628.15 × 174.96
  4. Step 4: Simplify right side
    418.50x = 109,901.12
  5. Step 5: Solve for x
    x = 109,901.12/418.50
  6. Step 6: Final answer
    x = 262.61

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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.