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Finding the Fourth Proportional to 404.98, 607.68 and 174.09

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Solution

The fourth proportional to 404.98, 607.68 and 174.09 is: 261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.98 : 607.68 = 174.09 : x
  2. Step 2: Convert to fraction form
    404.98/607.68 = 174.09/x
  3. Step 3: Cross multiply
    404.98x = 607.68 × 174.09
  4. Step 4: Simplify right side
    404.98x = 105,791.01
  5. Step 5: Solve for x
    x = 105,791.01/404.98
  6. Step 6: Final answer
    x = 261.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.