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Finding the Fourth Proportional to 418.25, 626.34 and 264.47

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Solution

The fourth proportional to 418.25, 626.34 and 264.47 is: 396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.25 : 626.34 = 264.47 : x
  2. Step 2: Convert to fraction form
    418.25/626.34 = 264.47/x
  3. Step 3: Cross multiply
    418.25x = 626.34 × 264.47
  4. Step 4: Simplify right side
    418.25x = 165,649.71
  5. Step 5: Solve for x
    x = 165,649.71/418.25
  6. Step 6: Final answer
    x = 396.05

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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.