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Finding the Fourth Proportional to 345.50, 477.20 and 252.09

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Solution

The fourth proportional to 345.50, 477.20 and 252.09 is: 348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.50 : 477.20 = 252.09 : x
  2. Step 2: Convert to fraction form
    345.50/477.20 = 252.09/x
  3. Step 3: Cross multiply
    345.50x = 477.20 × 252.09
  4. Step 4: Simplify right side
    345.50x = 120,297.35
  5. Step 5: Solve for x
    x = 120,297.35/345.50
  6. Step 6: Final answer
    x = 348.18

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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.