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Finding the Fourth Proportional to 407.26, 610.55 and 201.74

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Solution

The fourth proportional to 407.26, 610.55 and 201.74 is: 302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.26 : 610.55 = 201.74 : x
  2. Step 2: Convert to fraction form
    407.26/610.55 = 201.74/x
  3. Step 3: Cross multiply
    407.26x = 610.55 × 201.74
  4. Step 4: Simplify right side
    407.26x = 123,172.36
  5. Step 5: Solve for x
    x = 123,172.36/407.26
  6. Step 6: Final answer
    x = 302.44

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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.