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Finding the Fourth Proportional to 349.97, 525.26 and 241.84

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Solution

The fourth proportional to 349.97, 525.26 and 241.84 is: 362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.97 : 525.26 = 241.84 : x
  2. Step 2: Convert to fraction form
    349.97/525.26 = 241.84/x
  3. Step 3: Cross multiply
    349.97x = 525.26 × 241.84
  4. Step 4: Simplify right side
    349.97x = 127,026.25
  5. Step 5: Solve for x
    x = 127,026.25/349.97
  6. Step 6: Final answer
    x = 362.96

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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.