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Finding the Fourth Proportional to 418.96, 628.26 and 175.33

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Solution

The fourth proportional to 418.96, 628.26 and 175.33 is: 262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.96 : 628.26 = 175.33 : x
  2. Step 2: Convert to fraction form
    418.96/628.26 = 175.33/x
  3. Step 3: Cross multiply
    418.96x = 628.26 × 175.33
  4. Step 4: Simplify right side
    418.96x = 110,152.83
  5. Step 5: Solve for x
    x = 110,152.83/418.96
  6. Step 6: Final answer
    x = 262.92

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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.