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Finding the Fourth Proportional to 418.01, 626.96 and 245.86

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Solution

The fourth proportional to 418.01, 626.96 and 245.86 is: 368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.01 : 626.96 = 245.86 : x
  2. Step 2: Convert to fraction form
    418.01/626.96 = 245.86/x
  3. Step 3: Cross multiply
    418.01x = 626.96 × 245.86
  4. Step 4: Simplify right side
    418.01x = 154,143.43
  5. Step 5: Solve for x
    x = 154,143.43/418.01
  6. Step 6: Final answer
    x = 368.76

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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.