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Finding the Fourth Proportional to 418.64, 577.86 and 294.44

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Solution

The fourth proportional to 418.64, 577.86 and 294.44 is: 406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.64 : 577.86 = 294.44 : x
  2. Step 2: Convert to fraction form
    418.64/577.86 = 294.44/x
  3. Step 3: Cross multiply
    418.64x = 577.86 × 294.44
  4. Step 4: Simplify right side
    418.64x = 170,145.10
  5. Step 5: Solve for x
    x = 170,145.10/418.64
  6. Step 6: Final answer
    x = 406.42

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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.