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Finding the Fourth Proportional to 418.64, 628.12 and 245.20

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Solution

The fourth proportional to 418.64, 628.12 and 245.20 is: 367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.64 : 628.12 = 245.20 : x
  2. Step 2: Convert to fraction form
    418.64/628.12 = 245.20/x
  3. Step 3: Cross multiply
    418.64x = 628.12 × 245.20
  4. Step 4: Simplify right side
    418.64x = 154,015.02
  5. Step 5: Solve for x
    x = 154,015.02/418.64
  6. Step 6: Final answer
    x = 367.89

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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.