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Finding the Fourth Proportional to 418.82, 577.37 and 319.23

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Solution

The fourth proportional to 418.82, 577.37 and 319.23 is: 440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.82 : 577.37 = 319.23 : x
  2. Step 2: Convert to fraction form
    418.82/577.37 = 319.23/x
  3. Step 3: Cross multiply
    418.82x = 577.37 × 319.23
  4. Step 4: Simplify right side
    418.82x = 184,312.23
  5. Step 5: Solve for x
    x = 184,312.23/418.82
  6. Step 6: Final answer
    x = 440.08

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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.