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Finding the Fourth Proportional to 663.20, 993.54 and 412.64

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Solution

The fourth proportional to 663.20, 993.54 and 412.64 is: 618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.20 : 993.54 = 412.64 : x
  2. Step 2: Convert to fraction form
    663.20/993.54 = 412.64/x
  3. Step 3: Cross multiply
    663.20x = 993.54 × 412.64
  4. Step 4: Simplify right side
    663.20x = 409,974.35
  5. Step 5: Solve for x
    x = 409,974.35/663.20
  6. Step 6: Final answer
    x = 618.18

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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.