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Finding the Fourth Proportional to 419.88, 579.81 and 406.11

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Solution

The fourth proportional to 419.88, 579.81 and 406.11 is: 560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.88 : 579.81 = 406.11 : x
  2. Step 2: Convert to fraction form
    419.88/579.81 = 406.11/x
  3. Step 3: Cross multiply
    419.88x = 579.81 × 406.11
  4. Step 4: Simplify right side
    419.88x = 235,468.05
  5. Step 5: Solve for x
    x = 235,468.05/419.88
  6. Step 6: Final answer
    x = 560.79

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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.