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Finding the Fourth Proportional to 406.01, 559.91 and 361.80

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Solution

The fourth proportional to 406.01, 559.91 and 361.80 is: 498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.01 : 559.91 = 361.80 : x
  2. Step 2: Convert to fraction form
    406.01/559.91 = 361.80/x
  3. Step 3: Cross multiply
    406.01x = 559.91 × 361.80
  4. Step 4: Simplify right side
    406.01x = 202,576.34
  5. Step 5: Solve for x
    x = 202,576.34/406.01
  6. Step 6: Final answer
    x = 498.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.