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Finding the Fourth Proportional to 415.22, 572.64 and 267.80

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Solution

The fourth proportional to 415.22, 572.64 and 267.80 is: 369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.22 : 572.64 = 267.80 : x
  2. Step 2: Convert to fraction form
    415.22/572.64 = 267.80/x
  3. Step 3: Cross multiply
    415.22x = 572.64 × 267.80
  4. Step 4: Simplify right side
    415.22x = 153,352.99
  5. Step 5: Solve for x
    x = 153,352.99/415.22
  6. Step 6: Final answer
    x = 369.33

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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.