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Finding the Fourth Proportional to 418.88, 577.82 and 292.79

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Solution

The fourth proportional to 418.88, 577.82 and 292.79 is: 403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.88 : 577.82 = 292.79 : x
  2. Step 2: Convert to fraction form
    418.88/577.82 = 292.79/x
  3. Step 3: Cross multiply
    418.88x = 577.82 × 292.79
  4. Step 4: Simplify right side
    418.88x = 169,175.56
  5. Step 5: Solve for x
    x = 169,175.56/418.88
  6. Step 6: Final answer
    x = 403.88

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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.