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Finding the Fourth Proportional to 406.58, 609.86 and 298.04

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Solution

The fourth proportional to 406.58, 609.86 and 298.04 is: 447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.58 : 609.86 = 298.04 : x
  2. Step 2: Convert to fraction form
    406.58/609.86 = 298.04/x
  3. Step 3: Cross multiply
    406.58x = 609.86 × 298.04
  4. Step 4: Simplify right side
    406.58x = 181,760.37
  5. Step 5: Solve for x
    x = 181,760.37/406.58
  6. Step 6: Final answer
    x = 447.05

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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.