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Finding the Fourth Proportional to 349.22, 524.10 and 267.24

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Solution

The fourth proportional to 349.22, 524.10 and 267.24 is: 401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.22 : 524.10 = 267.24 : x
  2. Step 2: Convert to fraction form
    349.22/524.10 = 267.24/x
  3. Step 3: Cross multiply
    349.22x = 524.10 × 267.24
  4. Step 4: Simplify right side
    349.22x = 140,060.48
  5. Step 5: Solve for x
    x = 140,060.48/349.22
  6. Step 6: Final answer
    x = 401.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.