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Finding the Fourth Proportional to 349.44, 522.52 and 258.20

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Solution

The fourth proportional to 349.44, 522.52 and 258.20 is: 386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.44 : 522.52 = 258.20 : x
  2. Step 2: Convert to fraction form
    349.44/522.52 = 258.20/x
  3. Step 3: Cross multiply
    349.44x = 522.52 × 258.20
  4. Step 4: Simplify right side
    349.44x = 134,914.66
  5. Step 5: Solve for x
    x = 134,914.66/349.44
  6. Step 6: Final answer
    x = 386.09

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