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Finding the Fourth Proportional to 406.99, 610.51 and 118.43

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Solution

The fourth proportional to 406.99, 610.51 and 118.43 is: 177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.99 : 610.51 = 118.43 : x
  2. Step 2: Convert to fraction form
    406.99/610.51 = 118.43/x
  3. Step 3: Cross multiply
    406.99x = 610.51 × 118.43
  4. Step 4: Simplify right side
    406.99x = 72,302.70
  5. Step 5: Solve for x
    x = 72,302.70/406.99
  6. Step 6: Final answer
    x = 177.65

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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.