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Finding the Fourth Proportional to 551.93, 761.69 and 331.03

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Solution

The fourth proportional to 551.93, 761.69 and 331.03 is: 456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.93 : 761.69 = 331.03 : x
  2. Step 2: Convert to fraction form
    551.93/761.69 = 331.03/x
  3. Step 3: Cross multiply
    551.93x = 761.69 × 331.03
  4. Step 4: Simplify right side
    551.93x = 252,136.78
  5. Step 5: Solve for x
    x = 252,136.78/551.93
  6. Step 6: Final answer
    x = 456.83

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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.