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Finding the Fourth Proportional to 418.99, 577.65 and 294.79

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Solution

The fourth proportional to 418.99, 577.65 and 294.79 is: 406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.99 : 577.65 = 294.79 : x
  2. Step 2: Convert to fraction form
    418.99/577.65 = 294.79/x
  3. Step 3: Cross multiply
    418.99x = 577.65 × 294.79
  4. Step 4: Simplify right side
    418.99x = 170,285.44
  5. Step 5: Solve for x
    x = 170,285.44/418.99
  6. Step 6: Final answer
    x = 406.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.