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Finding the Fourth Proportional to 399.67, 551.54 and 252.56

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Solution

The fourth proportional to 399.67, 551.54 and 252.56 is: 348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.67 : 551.54 = 252.56 : x
  2. Step 2: Convert to fraction form
    399.67/551.54 = 252.56/x
  3. Step 3: Cross multiply
    399.67x = 551.54 × 252.56
  4. Step 4: Simplify right side
    399.67x = 139,296.94
  5. Step 5: Solve for x
    x = 139,296.94/399.67
  6. Step 6: Final answer
    x = 348.53

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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.