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Finding the Fourth Proportional to 406.15, 559.87 and 266.25

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Solution

The fourth proportional to 406.15, 559.87 and 266.25 is: 367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.15 : 559.87 = 266.25 : x
  2. Step 2: Convert to fraction form
    406.15/559.87 = 266.25/x
  3. Step 3: Cross multiply
    406.15x = 559.87 × 266.25
  4. Step 4: Simplify right side
    406.15x = 149,065.39
  5. Step 5: Solve for x
    x = 149,065.39/406.15
  6. Step 6: Final answer
    x = 367.02

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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.