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Finding the Fourth Proportional to 418.16, 625.62 and 337.16

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Solution

The fourth proportional to 418.16, 625.62 and 337.16 is: 504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.16 : 625.62 = 337.16 : x
  2. Step 2: Convert to fraction form
    418.16/625.62 = 337.16/x
  3. Step 3: Cross multiply
    418.16x = 625.62 × 337.16
  4. Step 4: Simplify right side
    418.16x = 210,934.04
  5. Step 5: Solve for x
    x = 210,934.04/418.16
  6. Step 6: Final answer
    x = 504.43

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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.