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Finding the Fourth Proportional to 418.11, 577.76 and 404.60

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Solution

The fourth proportional to 418.11, 577.76 and 404.60 is: 559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.11 : 577.76 = 404.60 : x
  2. Step 2: Convert to fraction form
    418.11/577.76 = 404.60/x
  3. Step 3: Cross multiply
    418.11x = 577.76 × 404.60
  4. Step 4: Simplify right side
    418.11x = 233,757.92
  5. Step 5: Solve for x
    x = 233,757.92/418.11
  6. Step 6: Final answer
    x = 559.08

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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.