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Finding the Fourth Proportional to 406.39, 560.37 and 266.46

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Solution

The fourth proportional to 406.39, 560.37 and 266.46 is: 367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.39 : 560.37 = 266.46 : x
  2. Step 2: Convert to fraction form
    406.39/560.37 = 266.46/x
  3. Step 3: Cross multiply
    406.39x = 560.37 × 266.46
  4. Step 4: Simplify right side
    406.39x = 149,313.39
  5. Step 5: Solve for x
    x = 149,313.39/406.39
  6. Step 6: Final answer
    x = 367.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.