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Finding the Fourth Proportional to 418.42, 577.49 and 301.78

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Solution

The fourth proportional to 418.42, 577.49 and 301.78 is: 416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.42 : 577.49 = 301.78 : x
  2. Step 2: Convert to fraction form
    418.42/577.49 = 301.78/x
  3. Step 3: Cross multiply
    418.42x = 577.49 × 301.78
  4. Step 4: Simplify right side
    418.42x = 174,274.93
  5. Step 5: Solve for x
    x = 174,274.93/418.42
  6. Step 6: Final answer
    x = 416.51

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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.