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Finding the Fourth Proportional to 551.75, 761.41 and 303.07

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Solution

The fourth proportional to 551.75, 761.41 and 303.07 is: 418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.75 : 761.41 = 303.07 : x
  2. Step 2: Convert to fraction form
    551.75/761.41 = 303.07/x
  3. Step 3: Cross multiply
    551.75x = 761.41 × 303.07
  4. Step 4: Simplify right side
    551.75x = 230,757.44
  5. Step 5: Solve for x
    x = 230,757.44/551.75
  6. Step 6: Final answer
    x = 418.23

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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.