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Finding the Fourth Proportional to 406.18, 611.62 and 298.72

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Solution

The fourth proportional to 406.18, 611.62 and 298.72 is: 449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.18 : 611.62 = 298.72 : x
  2. Step 2: Convert to fraction form
    406.18/611.62 = 298.72/x
  3. Step 3: Cross multiply
    406.18x = 611.62 × 298.72
  4. Step 4: Simplify right side
    406.18x = 182,703.13
  5. Step 5: Solve for x
    x = 182,703.13/406.18
  6. Step 6: Final answer
    x = 449.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.