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Finding the Fourth Proportional to 406.55, 561.12 and 266.69

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Solution

The fourth proportional to 406.55, 561.12 and 266.69 is: 368.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.55 : 561.12 = 266.69 : x
  2. Step 2: Convert to fraction form
    406.55/561.12 = 266.69/x
  3. Step 3: Cross multiply
    406.55x = 561.12 × 266.69
  4. Step 4: Simplify right side
    406.55x = 149,645.09
  5. Step 5: Solve for x
    x = 149,645.09/406.55
  6. Step 6: Final answer
    x = 368.09

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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.