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Finding the Fourth Proportional to 349.90, 524.41 and 205.26

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Solution

The fourth proportional to 349.90, 524.41 and 205.26 is: 307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.90 : 524.41 = 205.26 : x
  2. Step 2: Convert to fraction form
    349.90/524.41 = 205.26/x
  3. Step 3: Cross multiply
    349.90x = 524.41 × 205.26
  4. Step 4: Simplify right side
    349.90x = 107,640.40
  5. Step 5: Solve for x
    x = 107,640.40/349.90
  6. Step 6: Final answer
    x = 307.63

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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.