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Finding the Fourth Proportional to 406.60, 606.41 and 363.40

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Solution

The fourth proportional to 406.60, 606.41 and 363.40 is: 541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.60 : 606.41 = 363.40 : x
  2. Step 2: Convert to fraction form
    406.60/606.41 = 363.40/x
  3. Step 3: Cross multiply
    406.60x = 606.41 × 363.40
  4. Step 4: Simplify right side
    406.60x = 220,369.39
  5. Step 5: Solve for x
    x = 220,369.39/406.60
  6. Step 6: Final answer
    x = 541.98

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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.