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Finding the Fourth Proportional to 400.68, 601.24 and 218.06

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Solution

The fourth proportional to 400.68, 601.24 and 218.06 is: 327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.68 : 601.24 = 218.06 : x
  2. Step 2: Convert to fraction form
    400.68/601.24 = 218.06/x
  3. Step 3: Cross multiply
    400.68x = 601.24 × 218.06
  4. Step 4: Simplify right side
    400.68x = 131,106.39
  5. Step 5: Solve for x
    x = 131,106.39/400.68
  6. Step 6: Final answer
    x = 327.21

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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.