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Finding the Fourth Proportional to 407.29, 610.89 and 244.75

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Solution

The fourth proportional to 407.29, 610.89 and 244.75 is: 367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.29 : 610.89 = 244.75 : x
  2. Step 2: Convert to fraction form
    407.29/610.89 = 244.75/x
  3. Step 3: Cross multiply
    407.29x = 610.89 × 244.75
  4. Step 4: Simplify right side
    407.29x = 149,515.33
  5. Step 5: Solve for x
    x = 149,515.33/407.29
  6. Step 6: Final answer
    x = 367.10

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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.