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Finding the Fourth Proportional to 355.34, 491.13 and 267.86

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Solution

The fourth proportional to 355.34, 491.13 and 267.86 is: 370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.34 : 491.13 = 267.86 : x
  2. Step 2: Convert to fraction form
    355.34/491.13 = 267.86/x
  3. Step 3: Cross multiply
    355.34x = 491.13 × 267.86
  4. Step 4: Simplify right side
    355.34x = 131,554.08
  5. Step 5: Solve for x
    x = 131,554.08/355.34
  6. Step 6: Final answer
    x = 370.22

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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.