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Finding the Fourth Proportional to 418.65, 628.22 and 175.16

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Solution

The fourth proportional to 418.65, 628.22 and 175.16 is: 262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.65 : 628.22 = 175.16 : x
  2. Step 2: Convert to fraction form
    418.65/628.22 = 175.16/x
  3. Step 3: Cross multiply
    418.65x = 628.22 × 175.16
  4. Step 4: Simplify right side
    418.65x = 110,035.87
  5. Step 5: Solve for x
    x = 110,035.87/418.65
  6. Step 6: Final answer
    x = 262.84

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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.