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Finding the Fourth Proportional to 418.74, 628.01 and 175.27

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Solution

The fourth proportional to 418.74, 628.01 and 175.27 is: 262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.74 : 628.01 = 175.27 : x
  2. Step 2: Convert to fraction form
    418.74/628.01 = 175.27/x
  3. Step 3: Cross multiply
    418.74x = 628.01 × 175.27
  4. Step 4: Simplify right side
    418.74x = 110,071.31
  5. Step 5: Solve for x
    x = 110,071.31/418.74
  6. Step 6: Final answer
    x = 262.86

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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.