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Finding the Fourth Proportional to 418.64, 578.14 and 294.50

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Solution

The fourth proportional to 418.64, 578.14 and 294.50 is: 406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.64 : 578.14 = 294.50 : x
  2. Step 2: Convert to fraction form
    418.64/578.14 = 294.50/x
  3. Step 3: Cross multiply
    418.64x = 578.14 × 294.50
  4. Step 4: Simplify right side
    418.64x = 170,262.94
  5. Step 5: Solve for x
    x = 170,262.94/418.64
  6. Step 6: Final answer
    x = 406.71

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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.