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Finding the Fourth Proportional to 406.04, 606.20 and 367.76

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Solution

The fourth proportional to 406.04, 606.20 and 367.76 is: 549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.04 : 606.20 = 367.76 : x
  2. Step 2: Convert to fraction form
    406.04/606.20 = 367.76/x
  3. Step 3: Cross multiply
    406.04x = 606.20 × 367.76
  4. Step 4: Simplify right side
    406.04x = 222,935.79
  5. Step 5: Solve for x
    x = 222,935.79/406.04
  6. Step 6: Final answer
    x = 549.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.