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Finding the Fourth Proportional to 415.31, 573.03 and 267.93

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Solution

The fourth proportional to 415.31, 573.03 and 267.93 is: 369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.31 : 573.03 = 267.93 : x
  2. Step 2: Convert to fraction form
    415.31/573.03 = 267.93/x
  3. Step 3: Cross multiply
    415.31x = 573.03 × 267.93
  4. Step 4: Simplify right side
    415.31x = 153,531.93
  5. Step 5: Solve for x
    x = 153,531.93/415.31
  6. Step 6: Final answer
    x = 369.68

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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.