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Finding the Fourth Proportional to 418.03, 577.12 and 319.97

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Solution

The fourth proportional to 418.03, 577.12 and 319.97 is: 441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.03 : 577.12 = 319.97 : x
  2. Step 2: Convert to fraction form
    418.03/577.12 = 319.97/x
  3. Step 3: Cross multiply
    418.03x = 577.12 × 319.97
  4. Step 4: Simplify right side
    418.03x = 184,661.09
  5. Step 5: Solve for x
    x = 184,661.09/418.03
  6. Step 6: Final answer
    x = 441.74

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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.