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Finding the Fourth Proportional to 406.83, 561.48 and 267.07

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Solution

The fourth proportional to 406.83, 561.48 and 267.07 is: 368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.83 : 561.48 = 267.07 : x
  2. Step 2: Convert to fraction form
    406.83/561.48 = 267.07/x
  3. Step 3: Cross multiply
    406.83x = 561.48 × 267.07
  4. Step 4: Simplify right side
    406.83x = 149,954.46
  5. Step 5: Solve for x
    x = 149,954.46/406.83
  6. Step 6: Final answer
    x = 368.59

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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.