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Finding the Fourth Proportional to 418.81, 628.14 and 264.26

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Solution

The fourth proportional to 418.81, 628.14 and 264.26 is: 396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.81 : 628.14 = 264.26 : x
  2. Step 2: Convert to fraction form
    418.81/628.14 = 264.26/x
  3. Step 3: Cross multiply
    418.81x = 628.14 × 264.26
  4. Step 4: Simplify right side
    418.81x = 165,992.28
  5. Step 5: Solve for x
    x = 165,992.28/418.81
  6. Step 6: Final answer
    x = 396.35

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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.