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Finding the Fourth Proportional to 399.75, 551.92 and 258.22

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Solution

The fourth proportional to 399.75, 551.92 and 258.22 is: 356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.75 : 551.92 = 258.22 : x
  2. Step 2: Convert to fraction form
    399.75/551.92 = 258.22/x
  3. Step 3: Cross multiply
    399.75x = 551.92 × 258.22
  4. Step 4: Simplify right side
    399.75x = 142,518.04
  5. Step 5: Solve for x
    x = 142,518.04/399.75
  6. Step 6: Final answer
    x = 356.52

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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.